102109400 has 48 divisors (see below), whose sum is σ = 239177400. Its totient is φ = 40538880.

The previous prime is 102109369. The next prime is 102109417. The reversal of 102109400 is 4901201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25964 + ... + 29636.

Almost surely, 2^102109400 is an apocalyptic number.

102109400 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 102109400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119588700).

102109400 is an abundant number, since it is smaller than the sum of its proper divisors (137068000).

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

102109400 is a wasteful number, since it uses less digits than its factorization.

102109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102109400 is about 10104.9195939404. The cubic root of 102109400 is about 467.3998565369.

The spelling of 102109400 in words is "one hundred two million, one hundred nine thousand, four hundred".