102643200000 has 1092 divisors, whose sum is σ = 419633907336. Its totient is φ = 24883200000.

The previous prime is 102643199959. The next prime is 102643200019. The reversal of 102643200000 is 2346201.

It is a happy number.

102643200000 is a `hidden beast` number, since 1 + 0 + 2 + 643 + 20 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9331199995 + ... + 9331200005.

Almost surely, 2^102643200000 is an apocalyptic number.

102643200000 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 102643200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209816953668).

102643200000 is an abundant number, since it is smaller than the sum of its proper divisors (316990707336).

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

102643200000 is an frugal number, since it uses more digits than its factorization.

102643200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102643200000 its reverse (2346201), we get a palindrome (102645546201).

The spelling of 102643200000 in words is "one hundred two billion, six hundred forty-three million, two hundred thousand".