102287462200 has 192 divisors, whose sum is σ = 301528915200. Its totient is φ = 31341158400.

The previous prime is 102287462183. The next prime is 102287462203. The reversal of 102287462200 is 2264782201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102287462203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852312 + ... + 964888.

It is an arithmetic number, because the mean of its divisors is an integer number (1570463100).

Almost surely, 2^102287462200 is an apocalyptic number.

102287462200 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 102287462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150764457600).

102287462200 is an abundant number, since it is smaller than the sum of its proper divisors (199241453000).

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

102287462200 is a wasteful number, since it uses less digits than its factorization.

102287462200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112670 (or 112661 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 102287462200 in words is "one hundred two billion, two hundred eighty-seven million, four hundred sixty-two thousand, two hundred".