102531309 has 24 divisors (see below), whose sum is σ = 145669440. Its totient is φ = 64148656.

The previous prime is 102531287. The next prime is 102531323. The reversal of 102531309 is 903135201.

It is a happy number.

It is not a de Polignac number, because 102531309 - 2⁸ = 102531053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102531349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934527 + ... + 1934579.

It is an arithmetic number, because the mean of its divisors is an integer number (6069560).

Almost surely, 2^102531309 is an apocalyptic number.

It is an amenable number.

102531309 is a deficient number, since it is larger than the sum of its proper divisors (43138131).

102531309 is an frugal number, since it uses more digits than its factorization.

102531309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 102531309 is about 10125.7744888971. The cubic root of 102531309 is about 468.0427265761.

The spelling of 102531309 in words is "one hundred two million, five hundred thirty-one thousand, three hundred nine".