102675200 has 108 divisors (see below), whose sum is σ = 259285488. Its totient is φ = 40243200.

The previous prime is 102675191. The next prime is 102675203. The reversal of 102675200 is 2576201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102675203) 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, 390269 + ... + 390531.

Almost surely, 2^102675200 is an apocalyptic number.

102675200 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 102675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129642744).

102675200 is an abundant number, since it is smaller than the sum of its proper divisors (156610288).

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

102675200 is an equidigital number, since it uses as much as digits as its factorization.

102675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 102675200 is about 10132.8771827157. The cubic root of 102675200 is about 468.2615724308.

The spelling of 102675200 in words is "one hundred two million, six hundred seventy-five thousand, two hundred".