102329856 has 120 divisors (see below), whose sum is σ = 301621320. Its totient is φ = 33386496.

The previous prime is 102329813. The next prime is 102329861. The reversal of 102329856 is 658923201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102329856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244015 + ... + 244433.

It is an arithmetic number, because the mean of its divisors is an integer number (2513511).

Almost surely, 2^102329856 is an apocalyptic number.

102329856 is a gapful number since it is divisible by the number (16) 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 102329856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150810660).

102329856 is an abundant number, since it is smaller than the sum of its proper divisors (199291464).

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

102329856 is an equidigital number, since it uses as much as digits as its factorization.

102329856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 102329856 is about 10115.8220624920. The cubic root of 102329856 is about 467.7359895986.

The spelling of 102329856 in words is "one hundred two million, three hundred twenty-nine thousand, eight hundred fifty-six".