102001087760 has 320 divisors, whose sum is σ = 288055063296. Its totient is φ = 33094656000.

The previous prime is 102001087759. The next prime is 102001087789. The reversal of 102001087760 is 67780100201.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49682894 + ... + 49684946.

Almost surely, 2^102001087760 is an apocalyptic number.

102001087760 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 102001087760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144027531648).

102001087760 is an abundant number, since it is smaller than the sum of its proper divisors (186053975536).

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

102001087760 is a wasteful number, since it uses less digits than its factorization.

102001087760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

Adding to 102001087760 its reverse (67780100201), we get a palindrome (169781187961).

The spelling of 102001087760 in words is "one hundred two billion, one million, eighty-seven thousand, seven hundred sixty".