102889407 has 16 divisors (see below), whose sum is σ = 139217760. Its totient is φ = 67584000.

The previous prime is 102889399. The next prime is 102889433. The reversal of 102889407 is 704988201.

It is not a de Polignac number, because 102889407 - 2³ = 102889399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102889487) 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, 72319 + ... + 73727.

It is an arithmetic number, because the mean of its divisors is an integer number (8701110).

Almost surely, 2^102889407 is an apocalyptic number.

102889407 is a deficient number, since it is larger than the sum of its proper divisors (36328353).

102889407 is a wasteful number, since it uses less digits than its factorization.

102889407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 102889407 is about 10143.4415757178. The cubic root of 102889407 is about 468.5869844530.

The spelling of 102889407 in words is "one hundred two million, eight hundred eighty-nine thousand, four hundred seven".