102589407 has 24 divisors (see below), whose sum is σ = 163728864. Its totient is φ = 61569024.

The previous prime is 102589387. The next prime is 102589439. The reversal of 102589407 is 704985201.

It is not a de Polignac number, because 102589407 - 2¹² = 102585311 is a prime.

It is a super-2 number, since 2×102589407² = 21049172857223298, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102589477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11058 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (6822036).

Almost surely, 2^102589407 is an apocalyptic number.

102589407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102589407 is a deficient number, since it is larger than the sum of its proper divisors (61139457).

102589407 is a wasteful number, since it uses less digits than its factorization.

102589407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29199 (or 29196 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102589407 is about 10128.6429002113. The cubic root of 102589407 is about 468.1311132753.

The spelling of 102589407 in words is "one hundred two million, five hundred eighty-nine thousand, four hundred seven".