102981715200 has 2160 divisors, whose sum is σ = 489464088960. Its totient is φ = 20782448640.

The previous prime is 102981715189. The next prime is 102981715219. The reversal of 102981715200 is 2517189201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×102981715200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1745452771 + ... + 1745452829.

Almost surely, 2^102981715200 is an apocalyptic number.

102981715200 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 102981715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244732044480).

102981715200 is an abundant number, since it is smaller than the sum of its proper divisors (386482373760).

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

102981715200 is a wasteful number, since it uses less digits than its factorization.

102981715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 102981715200 in words is "one hundred two billion, nine hundred eighty-one million, seven hundred fifteen thousand, two hundred".