102255955200 has 1512 divisors, whose sum is σ = 452108729856. Its totient is φ = 22394880000.

The previous prime is 102255955199. The next prime is 102255955211. The reversal of 102255955200 is 2559552201.

102255955200 is a `hidden beast` number, since 10 + 2 + 2 + 5 + 595 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1012435150 + ... + 1012435250.

Almost surely, 2^102255955200 is an apocalyptic number.

102255955200 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 102255955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226054364928).

102255955200 is an abundant number, since it is smaller than the sum of its proper divisors (349852774656).

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

102255955200 is an equidigital number, since it uses as much as digits as its factorization.

102255955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 102255955200 in words is "one hundred two billion, two hundred fifty-five million, nine hundred fifty-five thousand, two hundred".