Search a number
-
+
105100555000 = 235476744819
BaseRepresentation
bin110000111100001111…
…0110011001011111000
3101001021122020101100011
41201320132303023320
53210221220230000
6120141005351304
710410326656150
oct1417036631370
9331248211304
10105100555000
1140633583611
1218451b68534
139bac44761c
145130619760
152b01e052ba
hex18787b32f8

105100555000 has 160 divisors (see below), whose sum is σ = 285636067200. Its totient is φ = 35495856000.

The previous prime is 105100554961. The next prime is 105100555037. The reversal of 105100555000 is 555001501.

It is a super-2 number, since 2×1051005550002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2322591 + ... + 2367409.

It is an arithmetic number, because the mean of its divisors is an integer number (1785225420).

Almost surely, 2105100555000 is an apocalyptic number.

105100555000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105100555000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142818033600).

105100555000 is an abundant number, since it is smaller than the sum of its proper divisors (180535512200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105100555000 is an equidigital number, since it uses as much as digits as its factorization.

105100555000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44919 (or 44900 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

Adding to 105100555000 its reverse (555001501), we get a palindrome (105655556501).

The spelling of 105100555000 in words is "one hundred five billion, one hundred million, five hundred fifty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 125 134 140 175 200 250 268 280 335 350 469 500 536 625 670 700 875 938 1000 1250 1340 1400 1675 1750 1876 2345 2500 2680 3350 3500 3752 4375 4690 5000 6700 7000 8375 8750 9380 11725 13400 16750 17500 18760 23450 33500 35000 41875 44819 46900 58625 67000 83750 89638 93800 117250 167500 179276 224095 234500 293125 313733 335000 358552 448190 469000 586250 627466 896380 1120475 1172500 1254932 1568665 1792760 2240950 2345000 2509864 3002873 3137330 4481900 5602375 6005746 6274660 7843325 8963800 11204750 12011492 12549320 15014365 15686650 21020111 22409500 24022984 28011875 30028730 31373300 39216625 42040222 44819000 56023750 60057460 62746600 75071825 78433250 84080444 105100555 112047500 120114920 150143650 156866500 168160888 196083125 210201110 224095000 300287300 313733000 375359125 392166250 420402220 525502775 600574600 750718250 784332500 840804440 1051005550 1501436500 1568665000 1876795625 2102011100 2627513875 3002873000 3753591250 4204022200 5255027750 7507182500 10510055500 13137569375 15014365000 21020111000 26275138750 52550277500 105100555000