10457100 has 90 divisors (see below), whose sum is σ = 33924044. Its totient is φ = 2786400.

The previous prime is 10457099. The next prime is 10457113. The reversal of 10457100 is 175401.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7455 + ... + 8745.

Almost surely, 2^10457100 is an apocalyptic number.

10457100 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 10457100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962022).

10457100 is an abundant number, since it is smaller than the sum of its proper divisors (23466944).

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

10457100 is a wasteful number, since it uses less digits than its factorization.

10457100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10457100 is about 3233.7439601799. The cubic root of 10457100 is about 218.6773255182.

The spelling of 10457100 in words is "ten million, four hundred fifty-seven thousand, one hundred".