102187008000 has 1440 divisors, whose sum is σ = 475028281728. Its totient is φ = 21233664000.

The previous prime is 102187007929. The next prime is 102187008013. The reversal of 102187008000 is 800781201.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9289727995 + ... + 9289728005.

Almost surely, 2^102187008000 is an apocalyptic number.

102187008000 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 102187008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237514140864).

102187008000 is an abundant number, since it is smaller than the sum of its proper divisors (372841273728).

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

102187008000 is an frugal number, since it uses more digits than its factorization.

102187008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 102187008000 its reverse (800781201), we get a palindrome (102987789201).

The spelling of 102187008000 in words is "one hundred two billion, one hundred eighty-seven million, eight thousand".