10605086361 has 9 divisors (see below), whose sum is σ = 15318904341. Its totient is φ = 7069851612.

The previous prime is 10605086287. The next prime is 10605086369. The reversal of 10605086361 is 16368050601.

It is a happy number.

The square root of 10605086361 is 102981.

It is a perfect power (a square), and thus also a powerful number.

10605086361 is a `hidden beast` number, since 10 + 6 + 0 + 5 + 0 + 8 + 636 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10605086361 - 2²³ = 10596697753 is a prime.

It is a super-2 number, since 2×10605086361² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605086369) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 291780 + ... + 326106.

Almost surely, 2^10605086361 is an apocalyptic number.

10605086361 is the 102981-st square number.

10605086361 is the 51491-st centered octagonal number.

It is an amenable number.

10605086361 is a deficient number, since it is larger than the sum of its proper divisors (4713817980).

10605086361 is an frugal number, since it uses more digits than its factorization.

10605086361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68660 (or 34330 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 10605086361 by its sum of digits (36), we get a square (381783108996 = 617886²).

The spelling of 10605086361 in words is "ten billion, six hundred five million, eighty-six thousand, three hundred sixty-one".