100507680 has 432 divisors, whose sum is σ = 431645760. Its totient is φ = 20846592.

The previous prime is 100507669. The next prime is 100507691. The reversal of 100507680 is 86705001.

It is an interprime number because it is at equal distance from previous prime (100507669) and next prime (100507691).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703491 + ... + 1703549.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^100507680 is an apocalyptic number.

100507680 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 100507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215822880).

100507680 is an abundant number, since it is smaller than the sum of its proper divisors (331138080).

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

100507680 is a wasteful number, since it uses less digits than its factorization.

100507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100507680 is about 10025.3518641492. The cubic root of 100507680 is about 464.9430384614.

The spelling of 100507680 in words is "one hundred million, five hundred seven thousand, six hundred eighty".