102412800 has 360 divisors, whose sum is σ = 422163456. Its totient is φ = 23224320.

The previous prime is 102412771. The next prime is 102412819. The reversal of 102412800 is 8214201.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 806337 + ... + 806463.

Almost surely, 2^102412800 is an apocalyptic number.

102412800 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 102412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211081728).

102412800 is an abundant number, since it is smaller than the sum of its proper divisors (319750656).

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

102412800 is a wasteful number, since it uses less digits than its factorization.

102412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102412800 is about 10119.9209483078. The cubic root of 102412800 is about 467.8623307535.

It can be divided in two parts, 10241 and 2800, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 102412800 in words is "one hundred two million, four hundred twelve thousand, eight hundred".