10506506160 has 80 divisors (see below), whose sum is σ = 33028957440. Its totient is φ = 2762269440.

The previous prime is 10506506137. The next prime is 10506506177. The reversal of 10506506160 is 6160560501.

10506506160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10506506160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291250 + ... + 325329.

It is an arithmetic number, because the mean of its divisors is an integer number (412861968).

Almost surely, 2^10506506160 is an apocalyptic number.

10506506160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506506160 is an abundant number, since it is smaller than the sum of its proper divisors (22522451280).

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

10506506160 is a wasteful number, since it uses less digits than its factorization.

10506506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616666 (or 616660 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10506506160 in words is "ten billion, five hundred six million, five hundred six thousand, one hundred sixty".