10073936161 has 9 divisors (see below), whose sum is σ = 10436307193. Its totient is φ = 9723748720.

The previous prime is 10073936153. The next prime is 10073936183. The reversal of 10073936161 is 16163937001.

The square root of 10073936161 is 100369.

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

It can be written as a sum of positive squares in 4 ways, for example, as 880961761 + 9192974400 = 29681^2 + 95880^2 .

It is not a de Polignac number, because 10073936161 - 2³ = 10073936153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10073936161.

It is not an unprimeable number, because it can be changed into a prime (10073933161) 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, 2908971 + ... + 2912431.

Almost surely, 2^10073936161 is an apocalyptic number.

10073936161 is the 100369-th square number.

10073936161 is the 50185-th centered octagonal number.

It is an amenable number.

10073936161 is a deficient number, since it is larger than the sum of its proper divisors (362371032).

10073936161 is an frugal number, since it uses more digits than its factorization.

10073936161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

It can be divided in two parts, 100739 and 36161, that added together give a square (136900 = 370²).

The spelling of 10073936161 in words is "ten billion, seventy-three million, nine hundred thirty-six thousand, one hundred sixty-one".