102694703904 has 768 divisors, whose sum is σ = 359641497600. Its totient is φ = 28295930880.

The previous prime is 102694703879. The next prime is 102694703941. The reversal of 102694703904 is 409307496201.

It is a happy number.

102694703904 is a `hidden beast` number, since 102 + 6 + 94 + 70 + 390 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102694703904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2388248907 + ... + 2388248949.

It is an arithmetic number, because the mean of its divisors is an integer number (468283200).

Almost surely, 2^102694703904 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 102694703904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179820748800).

102694703904 is an abundant number, since it is smaller than the sum of its proper divisors (256946793696).

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

102694703904 is a wasteful number, since it uses less digits than its factorization.

102694703904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 102694703904 in words is "one hundred two billion, six hundred ninety-four million, seven hundred three thousand, nine hundred four".