102129944 has 32 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 43026720.

The previous prime is 102129943. The next prime is 102129947. The reversal of 102129944 is 449921201.

It is a super-2 number, since 2×102129944² = 20861050922886272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102129944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102129943) 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, 12152 + ... + 18759.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2^102129944 is an apocalyptic number.

102129944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102129944 is an abundant number, since it is smaller than the sum of its proper divisors (120436456).

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

102129944 is a wasteful number, since it uses less digits than its factorization.

102129944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30983 (or 30979 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 102129944 is about 10105.9360773755. The cubic root of 102129944 is about 467.4312007577.

The spelling of 102129944 in words is "one hundred two million, one hundred twenty-nine thousand, nine hundred forty-four".