102196800 has 252 divisors, whose sum is σ = 373416576. Its totient is φ = 26496000.

The previous prime is 102196793. The next prime is 102196811. The reversal of 102196800 is 8691201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676725 + ... + 676875.

Almost surely, 2^102196800 is an apocalyptic number.

102196800 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 102196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186708288).

102196800 is an abundant number, since it is smaller than the sum of its proper divisors (271219776).

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

102196800 is a wasteful number, since it uses less digits than its factorization.

102196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 102196800 is about 10109.2432951235. The cubic root of 102196800 is about 467.5331746502.

The spelling of 102196800 in words is "one hundred two million, one hundred ninety-six thousand, eight hundred".