102329520 has 80 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 27204352.

The previous prime is 102329503. The next prime is 102329533. The reversal of 102329520 is 25923201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154951 + ... + 155609.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^102329520 is an apocalyptic number.

102329520 is a gapful number since it is divisible by the number (10) 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 102329520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

102329520 is an abundant number, since it is smaller than the sum of its proper divisors (215864400).

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

102329520 is a wasteful number, since it uses less digits than its factorization.

102329520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 102329520 is about 10115.8054548316. The cubic root of 102329520 is about 467.7354776611.

The spelling of 102329520 in words is "one hundred two million, three hundred twenty-nine thousand, five hundred twenty".