102939564 has 96 divisors (see below), whose sum is σ = 298722816. Its totient is φ = 26864640.

The previous prime is 102939547. The next prime is 102939593. The reversal of 102939564 is 465939201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116404 + ... + 117284.

It is an arithmetic number, because the mean of its divisors is an integer number (3111696).

Almost surely, 2^102939564 is an apocalyptic number.

102939564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102939564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149361408).

102939564 is an abundant number, since it is smaller than the sum of its proper divisors (195783252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102939564 is a wasteful number, since it uses less digits than its factorization.

102939564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 102939564 is about 10145.9136601885. The cubic root of 102939564 is about 468.6631150609.

The spelling of 102939564 in words is "one hundred two million, nine hundred thirty-nine thousand, five hundred sixty-four".