Search a number
-
+
104516545100 = 225211222933767
BaseRepresentation
bin110000101010110101…
…0111110101001001100
3100222202221022121100212
41201111222332221030
53203022213420400
6120003024141552
710360005655322
oct1412552765114
9328687277325
10104516545100
1140363957300
121830a4678b8
139b18459c36
1450b6c35d12
152aba9e5335
hex1855abea4c

104516545100 has 108 divisors (see below), whose sum is σ = 249468480912. Its totient is φ = 37979356800.

The previous prime is 104516545073. The next prime is 104516545103. The reversal of 104516545100 is 1545615401.

It is not an unprimeable number, because it can be changed into a prime (104516545103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27743417 + ... + 27747183.

Almost surely, 2104516545100 is an apocalyptic number.

104516545100 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 104516545100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124734240456).

104516545100 is an abundant number, since it is smaller than the sum of its proper divisors (144951935812).

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

104516545100 is a wasteful number, since it uses less digits than its factorization.

104516545100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 104516545100 in words is "one hundred four billion, five hundred sixteen million, five hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2293 2420 3025 3767 4586 6050 7534 9172 11465 12100 15068 18835 22930 25223 37670 41437 45860 50446 57325 75340 82874 94175 100892 114650 126115 165748 188350 207185 229300 252230 277453 376700 414370 455807 504460 554906 630575 828740 911614 1035925 1109812 1261150 1387265 1823228 2071850 2279035 2522300 2774530 4143700 4558070 5549060 6936325 8637731 9116140 11395175 13872650 17275462 22790350 27745300 34550924 43188655 45580700 86377310 95015041 172754620 190030082 215943275 380060164 431886550 475075205 863773100 950150410 1045165451 1900300820 2090330902 2375376025 4180661804 4750752050 5225827255 9501504100 10451654510 20903309020 26129136275 52258272550 104516545100