10605610113 has 32 divisors (see below), whose sum is σ = 16531906560. Its totient is φ = 5921657280.

The previous prime is 10605610069. The next prime is 10605610129. The reversal of 10605610113 is 31101650601.

It is not a de Polignac number, because 10605610113 - 2¹⁴ = 10605593729 is a prime.

It is a super-2 number, since 2×10605610113² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10605611113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614283 + ... + 631311.

It is an arithmetic number, because the mean of its divisors is an integer number (516622080).

Almost surely, 2^10605610113 is an apocalyptic number.

It is an amenable number.

10605610113 is a deficient number, since it is larger than the sum of its proper divisors (5926296447).

10605610113 is a wasteful number, since it uses less digits than its factorization.

10605610113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717.

The product of its (nonzero) digits is 540, while the sum is 24.

The spelling of 10605610113 in words is "ten billion, six hundred five million, six hundred ten thousand, one hundred thirteen".