10106461160356 has 48 divisors (see below), whose sum is σ = 19442366431488. Its totient is φ = 4558560458400.

The previous prime is 10106461160311. The next prime is 10106461160359. The reversal of 10106461160356 is 65306116460101.

It is not an unprimeable number, because it can be changed into a prime (10106461160359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229863631 + ... + 229907593.

It is an arithmetic number, because the mean of its divisors is an integer number (405049300656).

Almost surely, 2^{10106461160356} is an apocalyptic number.

It is an amenable number.

10106461160356 is a deficient number, since it is larger than the sum of its proper divisors (9335905271132).

10106461160356 is a wasteful number, since it uses less digits than its factorization.

10106461160356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83992 (or 83990 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 10106461160356 in words is "ten trillion, one hundred six billion, four hundred sixty-one million, one hundred sixty thousand, three hundred fifty-six".