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100106110050 = 23527924135053
BaseRepresentation
bin101110100111011001…
…0100000010001100010
3100120101120022021212120
41131032302200101202
53120004131010200
6113553233205110
710142502616152
oct1351662402142
9316346267776
10100106110050
1139500320161
1217499400796
1395947b235b
144bb91a2762
15290d6e99a0
hex174eca0462

100106110050 has 96 divisors (see below), whose sum is σ = 252456103680. Its totient is φ = 26246937600.

The previous prime is 100106109991. The next prime is 100106110051. The reversal of 100106110050 is 50011601001.

Adding to 100106110050 its reverse (50011601001), we get a palindrome (150117711051).

100106110050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001061100502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100106110051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2838324 + ... + 2873376.

It is an arithmetic number, because the mean of its divisors is an integer number (2629751080).

Almost surely, 2100106110050 is an apocalyptic number.

100106110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100106110050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126228051840).

100106110050 is an abundant number, since it is smaller than the sum of its proper divisors (152349993630).

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

100106110050 is a wasteful number, since it uses less digits than its factorization.

100106110050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35388 (or 35383 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 100106110050 in words is "one hundred billion, one hundred six million, one hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 241 395 474 482 723 790 1185 1205 1446 1975 2370 2410 3615 3950 5925 6025 7230 11850 12050 18075 19039 35053 36150 38078 57117 70106 95195 105159 114234 175265 190390 210318 285585 350530 475975 525795 571170 876325 951950 1051590 1427925 1752650 2628975 2769187 2855850 5257950 5538374 8307561 8447773 13845935 16615122 16895546 25343319 27691870 41537805 42238865 50686638 69229675 83075610 84477730 126716595 138459350 207689025 211194325 253433190 415378050 422388650 633582975 667374067 1267165950 1334748134 2002122201 3336870335 4004244402 6673740670 10010611005 16684351675 20021222010 33368703350 50053055025 100106110050