10457106 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 2894400.

The previous prime is 10457099. The next prime is 10457113. The reversal of 10457106 is 60175401.

It is an interprime number because it is at equal distance from previous prime (10457099) and next prime (10457113).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38740 + ... + 39008.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 2^10457106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

10457106 is an abundant number, since it is smaller than the sum of its proper divisors (14426094).

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

10457106 is a wasteful number, since it uses less digits than its factorization.

10457106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10457106 is about 3233.7448878970. The cubic root of 10457106 is about 218.6773673419.

The spelling of 10457106 in words is "ten million, four hundred fifty-seven thousand, one hundred six".