104162844240 has 1120 divisors, whose sum is σ = 470870695680. Its totient is φ = 20800364544.

The previous prime is 104162844209. The next prime is 104162844361. The reversal of 104162844240 is 42448261401.

104162844240 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 628 + 4 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104162844195 and 104162844204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 100834764 + ... + 100835796.

It is an arithmetic number, because the mean of its divisors is an integer number (420420264).

Almost surely, 2^104162844240 is an apocalyptic number.

104162844240 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 104162844240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235435347840).

104162844240 is an abundant number, since it is smaller than the sum of its proper divisors (366707851440).

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

104162844240 is a wasteful number, since it uses less digits than its factorization.

104162844240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 104162844240 in words is "one hundred four billion, one hundred sixty-two million, eight hundred forty-four thousand, two hundred forty".