100257280 has 40 divisors (see below), whose sum is σ = 240388632. Its totient is φ = 40101888.

The previous prime is 100257239. The next prime is 100257293. The reversal of 100257280 is 82752001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 17022 + ... + 22141.

Almost surely, 2^100257280 is an apocalyptic number.

100257280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100257280 is an abundant number, since it is smaller than the sum of its proper divisors (140131352).

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

100257280 is an frugal number, since it uses more digits than its factorization.

100257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39186 (or 39170 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 100257280 is about 10012.8557365019. The cubic root of 100257280 is about 464.5566051282.

The spelling of 100257280 in words is "one hundred million, two hundred fifty-seven thousand, two hundred eighty".