102187200 has 168 divisors, whose sum is σ = 341731600. Its totient is φ = 26726400.

The previous prime is 102187199. The next prime is 102187201. The reversal of 102187200 is 2781201.

It is an interprime number because it is at equal distance from previous prime (102187199) and next prime (102187201).

It is not an unprimeable number, because it can be changed into a prime (102187201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292626 + ... + 292974.

Almost surely, 2^102187200 is an apocalyptic number.

102187200 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 102187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170865800).

102187200 is an abundant number, since it is smaller than the sum of its proper divisors (239544400).

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

102187200 is a wasteful number, since it uses less digits than its factorization.

102187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 102187200 is about 10108.7684709860. The cubic root of 102187200 is about 467.5185347299.

The spelling of 102187200 in words is "one hundred two million, one hundred eighty-seven thousand, two hundred".