10207465024 has 63 divisors (see below), whose sum is σ = 20656106643. Its totient is φ = 5004721152.

The previous prime is 10207465003. The next prime is 10207465033. The reversal of 10207465024 is 42056470201.

The square root of 10207465024 is 101032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2770127424 + 7437337600 = 52632^2 + 86240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59002602 + ... + 59002774.

Almost surely, 2^10207465024 is an apocalyptic number.

10207465024 is the 101032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10207465024

10207465024 is an abundant number, since it is smaller than the sum of its proper divisors (10448641619).

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

10207465024 is an frugal number, since it uses more digits than its factorization.

10207465024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 10207465024 in words is "ten billion, two hundred seven million, four hundred sixty-five thousand, twenty-four".