102161628800 has 576 divisors, whose sum is σ = 325848653280. Its totient is φ = 31288320000.

The previous prime is 102161628787. The next prime is 102161628839. The reversal of 102161628800 is 8826161201.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105212315 + ... + 105213285.

Almost surely, 2^102161628800 is an apocalyptic number.

102161628800 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 102161628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162924326640).

102161628800 is an abundant number, since it is smaller than the sum of its proper divisors (223687024480).

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

102161628800 is a wasteful number, since it uses less digits than its factorization.

102161628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 102161628800 in words is "one hundred two billion, one hundred sixty-one million, six hundred twenty-eight thousand, eight hundred".