10642106112561 has 160 divisors (see below), whose sum is σ = 20775837874176. Its totient is φ = 5268092256000.

The previous prime is 10642106112559. The next prime is 10642106112587. The reversal of 10642106112561 is 16521160124601.

10642106112561 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 10 + 611 + 25 + 6 + 1 = 666.

It is not a de Polignac number, because 10642106112561 - 2¹ = 10642106112559 is a prime.

It is a super-2 number, since 2×10642106112561² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642106112541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10511916 + ... + 11479746.

Almost surely, 2^{10642106112561} is an apocalyptic number.

10642106112561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10642106112561 is a deficient number, since it is larger than the sum of its proper divisors (10133731761615).

10642106112561 is a wasteful number, since it uses less digits than its factorization.

10642106112561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967945 (or 967936 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10642106112561 in words is "ten trillion, six hundred forty-two billion, one hundred six million, one hundred twelve thousand, five hundred sixty-one".