100252960 has 24 divisors (see below), whose sum is σ = 236847996. Its totient is φ = 40101120.

The previous prime is 100252937. The next prime is 100252963. The reversal of 100252960 is 69252001.

It can be written as a sum of positive squares in 2 ways, for example, as 92390544 + 7862416 = 9612^2 + 2804^2 .

It is not an unprimeable number, because it can be changed into a prime (100252963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 313131 + ... + 313450.

Almost surely, 2^100252960 is an apocalyptic number.

100252960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100252960 is an abundant number, since it is smaller than the sum of its proper divisors (136595036).

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

100252960 is an equidigital number, since it uses as much as digits as its factorization.

100252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626596 (or 626588 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 100252960 is about 10012.6400115055. The cubic root of 100252960 is about 464.5499325841.

The spelling of 100252960 in words is "one hundred million, two hundred fifty-two thousand, nine hundred sixty".