104293166328 has 256 divisors, whose sum is σ = 322912665600. Its totient is φ = 30972119040.

The previous prime is 104293166279. The next prime is 104293166347. The reversal of 104293166328 is 823661392401.

104293166328 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 9 + 3 + 1 + 6 + 632 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 37690401 + ... + 37693167.

It is an arithmetic number, because the mean of its divisors is an integer number (1261377600).

Almost surely, 2^104293166328 is an apocalyptic number.

104293166328 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 104293166328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161456332800).

104293166328 is an abundant number, since it is smaller than the sum of its proper divisors (218619499272).

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

104293166328 is a wasteful number, since it uses less digits than its factorization.

104293166328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 104293166328 in words is "one hundred four billion, two hundred ninety-three million, one hundred sixty-six thousand, three hundred twenty-eight".