100624640 has 72 divisors (see below), whose sum is σ = 243317760. Its totient is φ = 39868416.

The previous prime is 100624633. The next prime is 100624669. The reversal of 100624640 is 46426001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162251 + ... + 162869.

Almost surely, 2^100624640 is an apocalyptic number.

100624640 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 100624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121658880).

100624640 is an abundant number, since it is smaller than the sum of its proper divisors (142693120).

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

100624640 is an equidigital number, since it uses as much as digits as its factorization.

100624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 100624640 is about 10031.1833798411. The cubic root of 100624640 is about 465.1233187400.

The spelling of 100624640 in words is "one hundred million, six hundred twenty-four thousand, six hundred forty".