102689941200 has 720 divisors, whose sum is σ = 419341160448. Its totient is φ = 21022848000.

The previous prime is 102689941187. The next prime is 102689941241. The reversal of 102689941200 is 2149986201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72163689 + ... + 72165111.

Almost surely, 2^102689941200 is an apocalyptic number.

102689941200 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 102689941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209670580224).

102689941200 is an abundant number, since it is smaller than the sum of its proper divisors (316651219248).

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

102689941200 is a wasteful number, since it uses less digits than its factorization.

102689941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 102689941200 in words is "one hundred two billion, six hundred eighty-nine million, nine hundred forty-one thousand, two hundred".