102097200 has 60 divisors (see below), whose sum is σ = 327055208. Its totient is φ = 27225600.

The previous prime is 102097181. The next prime is 102097201. The reversal of 102097200 is 2790201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (102097201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41341 + ... + 43740.

Almost surely, 2^102097200 is an apocalyptic number.

102097200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102097200 is an abundant number, since it is smaller than the sum of its proper divisors (224958008).

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

102097200 is a wasteful number, since it uses less digits than its factorization.

102097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85102 (or 85091 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 102097200 is about 10104.3159095507. The cubic root of 102097200 is about 467.3812408647.

The spelling of 102097200 in words is "one hundred two million, ninety-seven thousand, two hundred".