102129900 has 72 divisors (see below), whose sum is σ = 296803920. Its totient is φ = 27114240.

The previous prime is 102129899. The next prime is 102129943. The reversal of 102129900 is 9921201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82486 + ... + 83714.

Almost surely, 2^102129900 is an apocalyptic number.

102129900 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 102129900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148401960).

102129900 is an abundant number, since it is smaller than the sum of its proper divisors (194674020).

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

102129900 is a wasteful number, since it uses less digits than its factorization.

102129900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 102129900 is about 10105.9339004369. The cubic root of 102129900 is about 467.4311336309.

The spelling of 102129900 in words is "one hundred two million, one hundred twenty-nine thousand, nine hundred".