102905030766720 has 1024 divisors, whose sum is σ = 426296850739200. Its totient is φ = 20504006295552.

The previous prime is 102905030766697. The next prime is 102905030766763. The reversal of 102905030766720 is 27667030509201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102905030766720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1052289667 + ... + 1052387453.

It is an arithmetic number, because the mean of its divisors is an integer number (416305518300).

Almost surely, 2^{102905030766720} is an apocalyptic number.

102905030766720 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 102905030766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213148425369600).

102905030766720 is an abundant number, since it is smaller than the sum of its proper divisors (323391819972480).

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

102905030766720 is a wasteful number, since it uses less digits than its factorization.

102905030766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98165 (or 98153 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 102905030766720 in words is "one hundred two trillion, nine hundred five billion, thirty million, seven hundred sixty-six thousand, seven hundred twenty".