111682129 has 12 divisors (see below), whose sum is σ = 128050956. Its totient is φ = 97024512.

The previous prime is 111682127. The next prime is 111682157. The reversal of 111682129 is 921286111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 110355025 = 1152^2 + 10505^2 .

It is not a de Polignac number, because 111682129 - 2¹ = 111682127 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 111682129.

It is not an unprimeable number, because it can be changed into a prime (111682127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16564 + ... + 22309.

It is an arithmetic number, because the mean of its divisors is an integer number (10670913).

Almost surely, 2^111682129 is an apocalyptic number.

It is an amenable number.

111682129 is a deficient number, since it is larger than the sum of its proper divisors (16368827).

111682129 is a wasteful number, since it uses less digits than its factorization.

111682129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38916 (or 38903 counting only the distinct ones).

The product of its digits is 1728, while the sum is 31.

The square root of 111682129 is about 10567.9765802163. The cubic root of 111682129 is about 481.5720003023.

The spelling of 111682129 in words is "one hundred eleven million, six hundred eighty-two thousand, one hundred twenty-nine".