10606296806361 has 45 divisors (see below), whose sum is σ = 16563846297999. Its totient is φ = 6763005756144.

The previous prime is 10606296806353. The next prime is 10606296806383. The reversal of 10606296806361 is 16360869260601.

The square root of 10606296806361 is 3256731.

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

10606296806361 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 629 + 6 + 8 + 0 + 6 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1103602775625 + 9502694030736 = 1050525^2 + 3082644^2 .

It is not a de Polignac number, because 10606296806361 - 2³ = 10606296806353 is a prime.

It is a super-2 number, since 2×10606296806361² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10606296806298 and 10606296806307.

It is not an unprimeable number, because it can be changed into a prime (10606296806311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 674135451 + ... + 674151183.

Almost surely, 2^{10606296806361} is an apocalyptic number.

10606296806361 is the 3256731-st square number.

10606296806361 is the 1628366-th centered octagonal number.

It is an amenable number.

10606296806361 is a deficient number, since it is larger than the sum of its proper divisors (5957549491638).

10606296806361 is an frugal number, since it uses more digits than its factorization.

10606296806361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31524 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10606296806361 in words is "ten trillion, six hundred six billion, two hundred ninety-six million, eight hundred six thousand, three hundred sixty-one".