100115525664 has 576 divisors, whose sum is σ = 370058637312. Its totient is φ = 25866086400.

The previous prime is 100115525663. The next prime is 100115525681. The reversal of 100115525664 is 466525511001.

100115525664 is a `hidden beast` number, since 10 + 0 + 115 + 525 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100115525663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162261484 + ... + 162262100.

It is an arithmetic number, because the mean of its divisors is an integer number (642462912).

Almost surely, 2^100115525664 is an apocalyptic number.

100115525664 is a gapful number since it is divisible by the number (14) 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 100115525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185029318656).

100115525664 is an abundant number, since it is smaller than the sum of its proper divisors (269943111648).

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

100115525664 is a wasteful number, since it uses less digits than its factorization.

100115525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 100115525664 in words is "one hundred billion, one hundred fifteen million, five hundred twenty-five thousand, six hundred sixty-four".