102175009200 has 240 divisors, whose sum is σ = 396728476800. Its totient is φ = 24769670400.

The previous prime is 102175009127. The next prime is 102175009201. The reversal of 102175009200 is 2900571201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102175009201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311230 + ... + 548829.

It is an arithmetic number, because the mean of its divisors is an integer number (1653035320).

Almost surely, 2^102175009200 is an apocalyptic number.

102175009200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102175009200 is an abundant number, since it is smaller than the sum of its proper divisors (294553467600).

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

102175009200 is a wasteful number, since it uses less digits than its factorization.

102175009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860097 (or 860080 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 102175009200 in words is "one hundred two billion, one hundred seventy-five million, nine thousand, two hundred".