102640060008 has 256 divisors, whose sum is σ = 297486950400. Its totient is φ = 32767338240.

The previous prime is 102640059941. The next prime is 102640060027. The reversal of 102640060008 is 800060046201.

102640060008 is a `hidden beast` number, since 10 + 2 + 6 + 40 + 0 + 600 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113163891 + ... + 113164797.

It is an arithmetic number, because the mean of its divisors is an integer number (1162058400).

Almost surely, 2^102640060008 is an apocalyptic number.

102640060008 is a gapful number since it is divisible by the number (18) 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 102640060008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148743475200).

102640060008 is an abundant number, since it is smaller than the sum of its proper divisors (194846890392).

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

102640060008 is a wasteful number, since it uses less digits than its factorization.

102640060008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 102640060008 in words is "one hundred two billion, six hundred forty million, sixty thousand, eight".