102898800 has 180 divisors, whose sum is σ = 361897224. Its totient is φ = 27072000.

The previous prime is 102898777. The next prime is 102898819. The reversal of 102898800 is 8898201.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363459 + ... + 363741.

Almost surely, 2^102898800 is an apocalyptic number.

102898800 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 102898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180948612).

102898800 is an abundant number, since it is smaller than the sum of its proper divisors (258998424).

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

102898800 is a wasteful number, since it uses less digits than its factorization.

102898800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 102898800 is about 10143.9045736836. The cubic root of 102898800 is about 468.6012434642.

The spelling of 102898800 in words is "one hundred two million, eight hundred ninety-eight thousand, eight hundred".