100457460 has 72 divisors (see below), whose sum is σ = 311831520. Its totient is φ = 26163648.

The previous prime is 100457459. The next prime is 100457477. The reversal of 100457460 is 64754001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251 + ... + 14229.

Almost surely, 2^100457460 is an apocalyptic number.

100457460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100457460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155915760).

100457460 is an abundant number, since it is smaller than the sum of its proper divisors (211374060).

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

100457460 is a wasteful number, since it uses less digits than its factorization.

100457460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 100457460 is about 10022.8469009558. The cubic root of 100457460 is about 464.8655872344.

The spelling of 100457460 in words is "one hundred million, four hundred fifty-seven thousand, four hundred sixty".