100359120 has 80 divisors (see below), whose sum is σ = 324657792. Its totient is φ = 25597440.

The previous prime is 100359113. The next prime is 100359137. The reversal of 100359120 is 21953001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3571 + ... + 14610.

Almost surely, 2^100359120 is an apocalyptic number.

100359120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100359120 is an abundant number, since it is smaller than the sum of its proper divisors (224298672).

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

100359120 is a wasteful number, since it uses less digits than its factorization.

100359120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18220 (or 18214 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 100359120 is about 10017.9399079851. The cubic root of 100359120 is about 464.7138486873.

The spelling of 100359120 in words is "one hundred million, three hundred fifty-nine thousand, one hundred twenty".