10056505170 has 16 divisors (see below), whose sum is σ = 24135612480. Its totient is φ = 2681734704.

The previous prime is 10056505157. The next prime is 10056505171. The reversal of 10056505170 is 7150565001.

10056505170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056505170² (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), and also a Moran number because the ratio is a prime number: 335216839 = 10056505170 / (1 + 0 + 0 + 5 + 6 + 5 + 0 + 5 + 1 + 7 + 0).

It is not an unprimeable number, because it can be changed into a prime (10056505171) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 167608390 + ... + 167608449.

It is an arithmetic number, because the mean of its divisors is an integer number (1508475780).

Almost surely, 2^10056505170 is an apocalyptic number.

10056505170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10056505170 is an abundant number, since it is smaller than the sum of its proper divisors (14079107310).

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

10056505170 is a wasteful number, since it uses less digits than its factorization.

10056505170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335216849.

The product of its (nonzero) digits is 5250, while the sum is 30.

The spelling of 10056505170 in words is "ten billion, fifty-six million, five hundred five thousand, one hundred seventy".