104279742144 has 280 divisors, whose sum is σ = 316658548800. Its totient is φ = 33922437120.

The previous prime is 104279742079. The next prime is 104279742157. The reversal of 104279742144 is 441247972401.

104279742144 is a `hidden beast` number, since 1 + 0 + 427 + 9 + 7 + 4 + 214 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104279742144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36447274 + ... + 36450134.

Almost surely, 2^104279742144 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 104279742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158329274400).

104279742144 is an abundant number, since it is smaller than the sum of its proper divisors (212378806656).

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

104279742144 is an equidigital number, since it uses as much as digits as its factorization.

104279742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 104279742144 in words is "one hundred four billion, two hundred seventy-nine million, seven hundred forty-two thousand, one hundred forty-four".