10505293080 has 64 divisors (see below), whose sum is σ = 32367673440. Its totient is φ = 2725696512.

The previous prime is 10505293067. The next prime is 10505293129. The reversal of 10505293080 is 8039250501.

It is a super-2 number, since 2×10505293080² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178589 + ... + 1187468.

Almost surely, 2^10505293080 is an apocalyptic number.

10505293080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505293080 is an abundant number, since it is smaller than the sum of its proper divisors (21862380360).

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

10505293080 is a wasteful number, since it uses less digits than its factorization.

10505293080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366108 (or 2366104 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 10505293080 in words is "ten billion, five hundred five million, two hundred ninety-three thousand, eighty".