100759358052 has 144 divisors (see below), whose sum is σ = 280039468800. Its totient is φ = 31589028000.

The previous prime is 100759358017. The next prime is 100759358057. The reversal of 100759358052 is 250853957001.

100759358052 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 593 + 5 + 8 + 0 + 52 = 666.

It is a super-2 number, since 2×100759358052² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100759357989 and 100759358007.

It is not an unprimeable number, because it can be changed into a prime (100759358057) 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, 2547427 + ... + 2586677.

Almost surely, 2^100759358052 is an apocalyptic number.

100759358052 is a gapful number since it is divisible by the number (12) 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 100759358052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140019734400).

100759358052 is an abundant number, since it is smaller than the sum of its proper divisors (179280110748).

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

100759358052 is a wasteful number, since it uses less digits than its factorization.

100759358052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39428 (or 39414 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 100759358052 in words is "one hundred billion, seven hundred fifty-nine million, three hundred fifty-eight thousand, fifty-two".