100257952 has 24 divisors (see below), whose sum is σ = 199886400. Its totient is φ = 49493184.

The previous prime is 100257923. The next prime is 100257961. The reversal of 100257952 is 259752001.

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 3 ways as a sum of consecutive naturals, for example, 17302 + ... + 22357.

It is an arithmetic number, because the mean of its divisors is an integer number (8328600).

Almost surely, 2^100257952 is an apocalyptic number.

It is an amenable number.

100257952 is a deficient number, since it is larger than the sum of its proper divisors (99628448).

100257952 is an equidigital number, since it uses as much as digits as its factorization.

100257952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39748 (or 39740 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 100257952 is about 10012.8892933059. The cubic root of 100257952 is about 464.5576430623.

The spelling of 100257952 in words is "one hundred million, two hundred fifty-seven thousand, nine hundred fifty-two".