100715893600 has 216 divisors, whose sum is σ = 286981085160. Its totient is φ = 34414571520.

The previous prime is 100715893573. The next prime is 100715893601. The reversal of 100715893600 is 6398517001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100715893601) 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 35 ways as a sum of consecutive naturals, for example, 12030216 + ... + 12038584.

It is an arithmetic number, because the mean of its divisors is an integer number (1328616135).

Almost surely, 2^100715893600 is an apocalyptic number.

100715893600 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 100715893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143490542580).

100715893600 is an abundant number, since it is smaller than the sum of its proper divisors (186265191560).

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

100715893600 is a wasteful number, since it uses less digits than its factorization.

100715893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 100715893600 in words is "one hundred billion, seven hundred fifteen million, eight hundred ninety-three thousand, six hundred".