100615680 has 240 divisors, whose sum is σ = 381096144. Its totient is φ = 24330240.

The previous prime is 100615649. The next prime is 100615699. The reversal of 100615680 is 86516001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253242 + ... + 253638.

Almost surely, 2^100615680 is an apocalyptic number.

100615680 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 100615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190548072).

100615680 is an abundant number, since it is smaller than the sum of its proper divisors (280480464).

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

100615680 is a wasteful number, since it uses less digits than its factorization.

100615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100615680 is about 10030.7367625713. The cubic root of 100615680 is about 465.1095128814.

The spelling of 100615680 in words is "one hundred million, six hundred fifteen thousand, six hundred eighty".