100715081600 has 384 divisors, whose sum is σ = 300427438080. Its totient is φ = 32630169600.

The previous prime is 100715081587. The next prime is 100715081647. The reversal of 100715081600 is 6180517001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29857514 + ... + 29860886.

It is an arithmetic number, because the mean of its divisors is an integer number (782363120).

Almost surely, 2^100715081600 is an apocalyptic number.

100715081600 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 100715081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150213719040).

100715081600 is an abundant number, since it is smaller than the sum of its proper divisors (199712356480).

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

100715081600 is a wasteful number, since it uses less digits than its factorization.

100715081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

Adding to 100715081600 its reverse (6180517001), we get a palindrome (106895598601).

The spelling of 100715081600 in words is "one hundred billion, seven hundred fifteen million, eighty-one thousand, six hundred".