102338880 has 224 divisors, whose sum is σ = 377561856. Its totient is φ = 23003136.

The previous prime is 102338869. The next prime is 102338893. The reversal of 102338880 is 88833201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×102338880³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651762 + ... + 651918.

It is an arithmetic number, because the mean of its divisors is an integer number (1685544).

Almost surely, 2^102338880 is an apocalyptic number.

102338880 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 102338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188780928).

102338880 is an abundant number, since it is smaller than the sum of its proper divisors (275222976).

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

102338880 is a wasteful number, since it uses less digits than its factorization.

102338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 102338880 is about 10116.2680866019. The cubic root of 102338880 is about 467.7497383573.

It can be divided in two parts, 1023 and 38880, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 102338880 in words is "one hundred two million, three hundred thirty-eight thousand, eight hundred eighty".