10506311700 has 72 divisors (see below), whose sum is σ = 30584896608. Its totient is φ = 2784481920.

The previous prime is 10506311693. The next prime is 10506311723. The reversal of 10506311700 is 711360501.

It is a super-2 number, since 2×10506311700² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58527 + ... + 156326.

Almost surely, 2^10506311700 is an apocalyptic number.

10506311700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506311700 is an abundant number, since it is smaller than the sum of its proper divisors (20078584908).

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

10506311700 is a wasteful number, since it uses less digits than its factorization.

10506311700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215033 (or 215026 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The spelling of 10506311700 in words is "ten billion, five hundred six million, three hundred eleven thousand, seven hundred".