102209640192 has 432 divisors, whose sum is σ = 346066287840. Its totient is φ = 28665446400.

The previous prime is 102209640167. The next prime is 102209640241. The reversal of 102209640192 is 291046902201.

102209640192 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 9 + 640 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26279784 + ... + 26283672.

It is an arithmetic number, because the mean of its divisors is an integer number (801079370).

Almost surely, 2^102209640192 is an apocalyptic number.

102209640192 is a gapful number since it is divisible by the number (12) 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 102209640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173033143920).

102209640192 is an abundant number, since it is smaller than the sum of its proper divisors (243856647648).

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

102209640192 is a wasteful number, since it uses less digits than its factorization.

102209640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 102209640192 in words is "one hundred two billion, two hundred nine million, six hundred forty thousand, one hundred ninety-two".