102146800 has 90 divisors (see below), whose sum is σ = 281942024. Its totient is φ = 34838400.

The previous prime is 102146773. The next prime is 102146861. The reversal of 102146800 is 8641201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 534705 + ... + 534895.

Almost surely, 2^102146800 is an apocalyptic number.

102146800 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 102146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140971012).

102146800 is an abundant number, since it is smaller than the sum of its proper divisors (179795224).

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

102146800 is an equidigital number, since it uses as much as digits as its factorization.

102146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 102146800 is about 10106.7700082667. The cubic root of 102146800 is about 467.4569150148.

The spelling of 102146800 in words is "one hundred two million, one hundred forty-six thousand, eight hundred".