102714304 has 112 divisors (see below), whose sum is σ = 267736320. Its totient is φ = 37877760.

The previous prime is 102714263. The next prime is 102714341. The reversal of 102714304 is 403417201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93084 + ... + 94180.

Almost surely, 2^102714304 is an apocalyptic number.

102714304 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 102714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133868160).

102714304 is an abundant number, since it is smaller than the sum of its proper divisors (165022016).

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

102714304 is a wasteful number, since it uses less digits than its factorization.

102714304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 102714304 is about 10134.8065595748. The cubic root of 102714304 is about 468.3210109204.

The spelling of 102714304 in words is "one hundred two million, seven hundred fourteen thousand, three hundred four".