102145291200 has 252 divisors, whose sum is σ = 363358895328. Its totient is φ = 27215462400.

The previous prime is 102145291187. The next prime is 102145291219. The reversal of 102145291200 is 2192541201.

102145291200 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 452 + 9 + 1 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22792960 + ... + 22797440.

Almost surely, 2^102145291200 is an apocalyptic number.

102145291200 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 102145291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181679447664).

102145291200 is an abundant number, since it is smaller than the sum of its proper divisors (261213604128).

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

102145291200 is a wasteful number, since it uses less digits than its factorization.

102145291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 102145291200 in words is "one hundred two billion, one hundred forty-five million, two hundred ninety-one thousand, two hundred".