10072908126 has 48 divisors (see below), whose sum is σ = 22416554160. Its totient is φ = 3267008640.

The previous prime is 10072908107. The next prime is 10072908133. The reversal of 10072908126 is 62180927001.

It is a super-2 number, since 2×10072908126² (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, 261696 + ... + 297708.

It is an arithmetic number, because the mean of its divisors is an integer number (467011545).

Almost surely, 2^10072908126 is an apocalyptic number.

10072908126 is an abundant number, since it is smaller than the sum of its proper divisors (12343646034).

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

10072908126 is a wasteful number, since it uses less digits than its factorization.

10072908126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36441 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10072908126 in words is "ten billion, seventy-two million, nine hundred eight thousand, one hundred twenty-six".