102109147156800 has 504 divisors, whose sum is σ = 415673506163136. Its totient is φ = 23288152596480.

The previous prime is 102109147156769. The next prime is 102109147156829. The reversal of 102109147156800 is 8651741901201.

102109147156800 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 9 + 14 + 71 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44957299 + ... + 47173901.

Almost surely, 2^{102109147156800} is an apocalyptic number.

102109147156800 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 102109147156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207836753081568).

102109147156800 is an abundant number, since it is smaller than the sum of its proper divisors (313564359006336).

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

102109147156800 is a wasteful number, since it uses less digits than its factorization.

102109147156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217095 (or 2217077 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 102109147156800 in words is "one hundred two trillion, one hundred nine billion, one hundred forty-seven million, one hundred fifty-six thousand, eight hundred".