107682129 has 15 divisors (see below), whose sum is σ = 160998123. Its totient is φ = 71725824.

The previous prime is 107682119. The next prime is 107682163. The reversal of 107682129 is 921286701.

The square root of 107682129 is 10377.

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., 85100625 + 22581504 = 9225^2 + 4752^2 .

It is not a de Polignac number, because 107682129 - 2⁹ = 107681617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107682093 and 107682102.

It is not an unprimeable number, because it can be changed into a prime (107682109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 92817 + ... + 93969.

Almost surely, 2^107682129 is an apocalyptic number.

107682129 is the 10377-th square number.

107682129 is the 5189-th centered octagonal number.

It is an amenable number.

107682129 is a deficient number, since it is larger than the sum of its proper divisors (53315994).

107682129 is an frugal number, since it uses more digits than its factorization.

107682129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 107682129 is about 475.7526446511.

Multiplying 107682129 by its sum of digits (36), we get a square (3876556644 = 62262²).

The spelling of 107682129 in words is "one hundred seven million, six hundred eighty-two thousand, one hundred twenty-nine".