10177379689 has 9 divisors (see below), whose sum is σ = 10315916247. Its totient is φ = 10040683224.

The previous prime is 10177379669. The next prime is 10177379731. The reversal of 10177379689 is 98697377101.

The square root of 10177379689 is 100883.

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

It can be written as a sum of positive squares in only one way, i.e., 6685515225 + 3491864464 = 81765^2 + 59092^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10177379689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10177379609) 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, 7969119 + ... + 7970395.

Almost surely, 2^10177379689 is an apocalyptic number.

10177379689 is the 100883-rd square number.

10177379689 is the 50442-nd centered octagonal number.

It is an amenable number.

10177379689 is a deficient number, since it is larger than the sum of its proper divisors (138536558).

10177379689 is an frugal number, since it uses more digits than its factorization.

10177379689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 58.

The spelling of 10177379689 in words is "ten billion, one hundred seventy-seven million, three hundred seventy-nine thousand, six hundred eighty-nine".