10106253482160 has 160 divisors (see below), whose sum is σ = 34178639212800. Its totient is φ = 2449920025600.

The previous prime is 10106253482147. The next prime is 10106253482189. The reversal of 10106253482160 is 6128435260101.

It is a super-2 number, since 2×10106253482160² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 133411495 + ... + 133487225.

It is an arithmetic number, because the mean of its divisors is an integer number (213616495080).

Almost surely, 2^{10106253482160} is an apocalyptic number.

10106253482160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106253482160 is an abundant number, since it is smaller than the sum of its proper divisors (24072385730640).

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

10106253482160 is a wasteful number, since it uses less digits than its factorization.

10106253482160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126307 (or 126301 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10106253482160 in words is "ten trillion, one hundred six billion, two hundred fifty-three million, four hundred eighty-two thousand, one hundred sixty".