10507571104 has 48 divisors (see below), whose sum is σ = 21093478056. Its totient is φ = 5151052800.

The previous prime is 10507571071. The next prime is 10507571149. The reversal of 10507571104 is 40117570501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6715474704 + 3792096400 = 81948^2 + 61580^2 .

It is a super-2 number, since 2×10507571104² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610294 + ... + 627274.

Almost surely, 2^10507571104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507571104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546739028).

10507571104 is an abundant number, since it is smaller than the sum of its proper divisors (10585906952).

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

10507571104 is a wasteful number, since it uses less digits than its factorization.

10507571104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17369 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 31.

The spelling of 10507571104 in words is "ten billion, five hundred seven million, five hundred seventy-one thousand, one hundred four".