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105025056136 = 237111313115017
BaseRepresentation
bin110000111001111111…
…0110010110110001000
3101001002101011122100221
41201303332302312020
53210042403244021
6120125311235424
710405422150640
oct1416376626610
9331071148327
10105025056136
11405a49a7160
1218430818b74
139b99901c40
1451245a5520
152aea490241
hex1873fb2d88

105025056136 has 64 divisors (see below), whose sum is σ = 264398762880. Its totient is φ = 37771246080.

The previous prime is 105025056131. The next prime is 105025056151. The reversal of 105025056136 is 631650520501.

It is a super-2 number, since 2×1050250561362 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105025056131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6549501 + ... + 6565516.

It is an arithmetic number, because the mean of its divisors is an integer number (4131230670).

Almost surely, 2105025056136 is an apocalyptic number.

It is an amenable number.

105025056136 is an abundant number, since it is smaller than the sum of its proper divisors (159373706744).

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

105025056136 is a wasteful number, since it uses less digits than its factorization.

105025056136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115054 (or 13115050 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

Adding to 105025056136 its reverse (631650520501), we get a palindrome (736675576637).

The spelling of 105025056136 in words is "one hundred five billion, twenty-five million, fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 13115017 26230034 52460068 91805119 104920136 144265187 170495221 183610238 288530374 340990442 367220476 577060748 681980884 734440952 1009856309 1154121496 1193466547 1363961768 1875447431 2019712618 2386933094 3750894862 4039425236 4773866188 7501789724 8078850472 9547732376 13128132017 15003579448 26256264034 52512528068 105025056136