102931840 has 64 divisors (see below), whose sum is σ = 268459920. Its totient is φ = 37427200.

The previous prime is 102931783. The next prime is 102931847. The reversal of 102931840 is 48139201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102931799 and 102931808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102931847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271 + ... + 14350.

Almost surely, 2^102931840 is an apocalyptic number.

102931840 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 102931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134229960).

102931840 is an abundant number, since it is smaller than the sum of its proper divisors (165528080).

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

102931840 is a wasteful number, since it uses less digits than its factorization.

102931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14651 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 102931840 is about 10145.5330071909. The cubic root of 102931840 is about 468.6513928286.

The spelling of 102931840 in words is "one hundred two million, nine hundred thirty-one thousand, eight hundred forty".