102938880 has 144 divisors (see below), whose sum is σ = 358795584. Its totient is φ = 24944640.

The previous prime is 102938821. The next prime is 102938881. The reversal of 102938880 is 88839201.

It is not an unprimeable number, because it can be changed into a prime (102938881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41022 + ... + 43458.

It is an arithmetic number, because the mean of its divisors is an integer number (2491636).

Almost surely, 2^102938880 is an apocalyptic number.

102938880 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 102938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179397792).

102938880 is an abundant number, since it is smaller than the sum of its proper divisors (255856704).

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

102938880 is a wasteful number, since it uses less digits than its factorization.

102938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 102938880 is about 10145.8799519805. The cubic root of 102938880 is about 468.6620770205.

The spelling of 102938880 in words is "one hundred two million, nine hundred thirty-eight thousand, eight hundred eighty".