102731891 has 16 divisors (see below), whose sum is σ = 108476160. Its totient is φ = 97161120.

The previous prime is 102731857. The next prime is 102731897. The reversal of 102731891 is 198137201.

It is a cyclic number.

It is not a de Polignac number, because 102731891 - 2¹⁴ = 102715507 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102731897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486776 + ... + 486986.

It is an arithmetic number, because the mean of its divisors is an integer number (6779760).

Almost surely, 2^102731891 is an apocalyptic number.

102731891 is a deficient number, since it is larger than the sum of its proper divisors (5744269).

102731891 is a wasteful number, since it uses less digits than its factorization.

102731891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 102731891 is about 10135.6741758997. The cubic root of 102731891 is about 468.3477384266.

The spelling of 102731891 in words is "one hundred two million, seven hundred thirty-one thousand, eight hundred ninety-one".