100757120 has 32 divisors (see below), whose sum is σ = 240874020. Its totient is φ = 40302592.

The previous prime is 100757119. The next prime is 100757149. The reversal of 100757120 is 21757001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99520576 + 1236544 = 9976^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78077 + ... + 79356.

Almost surely, 2^100757120 is an apocalyptic number.

100757120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100757120 is an abundant number, since it is smaller than the sum of its proper divisors (140116900).

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

100757120 is an equidigital number, since it uses as much as digits as its factorization.

100757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157452 (or 157440 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 100757120 is about 10037.7846161392. The cubic root of 100757120 is about 465.3273526451.

The spelling of 100757120 in words is "one hundred million, seven hundred fifty-seven thousand, one hundred twenty".