102605328 has 120 divisors (see below), whose sum is σ = 331014528. Its totient is φ = 29062656.

The previous prime is 102605303. The next prime is 102605333. The reversal of 102605328 is 823506201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137725 + ... + 138467.

Almost surely, 2^102605328 is an apocalyptic number.

102605328 is a gapful number since it is divisible by the number (18) 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 102605328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165507264).

102605328 is an abundant number, since it is smaller than the sum of its proper divisors (228409200).

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

102605328 is a wasteful number, since it uses less digits than its factorization.

102605328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102605328 is about 10129.4288091679. The cubic root of 102605328 is about 468.1553286732.

The spelling of 102605328 in words is "one hundred two million, six hundred five thousand, three hundred twenty-eight".