102067103620608 has 640 divisors, whose sum is σ = 327242506567680. Its totient is φ = 27654312591360.

The previous prime is 102067103620597. The next prime is 102067103620681. The reversal of 102067103620608 is 806026301760201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102067103620608.

It is a congruent number.

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, 16234624441 + ... + 16234630727.

It is an arithmetic number, because the mean of its divisors is an integer number (511316416512).

Almost surely, 2^{102067103620608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102067103620608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163621253283840).

102067103620608 is an abundant number, since it is smaller than the sum of its proper divisors (225175402947072).

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

102067103620608 is an equidigital number, since it uses as much as digits as its factorization.

102067103620608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 102067103620608 in words is "one hundred two trillion, sixty-seven billion, one hundred three million, six hundred twenty thousand, six hundred eight".