102894800 has 60 divisors (see below), whose sum is σ = 251316876. Its totient is φ = 40473600.

The previous prime is 102894791. The next prime is 102894811. The reversal of 102894800 is 8498201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4963984 + 97930816 = 2228^2 + 9896^2 .

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, 22292 + ... + 26508.

Almost surely, 2^102894800 is an apocalyptic number.

102894800 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 102894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125658438).

102894800 is an abundant number, since it is smaller than the sum of its proper divisors (148422076).

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

102894800 is a wasteful number, since it uses less digits than its factorization.

102894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 102894800 is about 10143.7074090295. The cubic root of 102894800 is about 468.5951713841.

The spelling of 102894800 in words is "one hundred two million, eight hundred ninety-four thousand, eight hundred".