100715880 has 64 divisors (see below), whose sum is σ = 307123200. Its totient is φ = 26415360.

The previous prime is 100715851. The next prime is 100715893. The reversal of 100715880 is 88517001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441 + ... + 14199.

It is an arithmetic number, because the mean of its divisors is an integer number (4798800).

Almost surely, 2^100715880 is an apocalyptic number.

100715880 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 100715880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153561600).

100715880 is an abundant number, since it is smaller than the sum of its proper divisors (206407320).

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

100715880 is a wasteful number, since it uses less digits than its factorization.

100715880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13834 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 100715880 is about 10035.7301677556. The cubic root of 100715880 is about 465.2638576491.

It can be divided in two parts, 10071 and 5880, that added together give a palindrome (15951).

The spelling of 100715880 in words is "one hundred million, seven hundred fifteen thousand, eight hundred eighty".