102931940 has 48 divisors (see below), whose sum is σ = 230719104. Its totient is φ = 38438400.

The previous prime is 102931921. The next prime is 102931951. The reversal of 102931940 is 49139201.

It is a happy number.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43385 + ... + 45695.

It is an arithmetic number, because the mean of its divisors is an integer number (4806648).

Almost surely, 2^102931940 is an apocalyptic number.

102931940 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 102931940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115359552).

102931940 is an abundant number, since it is smaller than the sum of its proper divisors (127787164).

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

102931940 is a wasteful number, since it uses less digits than its factorization.

102931940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 102931940 is about 10145.5379354670. The cubic root of 102931940 is about 468.6515445961.

The spelling of 102931940 in words is "one hundred two million, nine hundred thirty-one thousand, nine hundred forty".