102924 has 24 divisors (see below), whose sum is σ = 267120. Its totient is φ = 34272.

The previous prime is 102913. The next prime is 102929. The reversal of 102924 is 429201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102897 and 102906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102924.

It is not an unprimeable number, because it can be changed into a prime (102929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2¹⁰²⁹²⁴ is an apocalyptic number.

It is an amenable number.

102924 is an abundant number, since it is smaller than the sum of its proper divisors (164196).

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

102924 is a wasteful number, since it uses less digits than its factorization.

102924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102924 is about 320.8177052471. The cubic root of 102924 is about 46.8639493951.

It can be divided in two parts, 10292 and 4, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 102924 in words is "one hundred two thousand, nine hundred twenty-four".