104079065400 has 384 divisors, whose sum is σ = 369119232000. Its totient is φ = 26941662720.

The previous prime is 104079065357. The next prime is 104079065459. The reversal of 104079065400 is 4560970401.

104079065400 is a `hidden beast` number, since 1 + 0 + 40 + 79 + 0 + 6 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32230986 + ... + 32234214.

It is an arithmetic number, because the mean of its divisors is an integer number (961248000).

Almost surely, 2^104079065400 is an apocalyptic number.

104079065400 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 104079065400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184559616000).

104079065400 is an abundant number, since it is smaller than the sum of its proper divisors (265040166600).

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

104079065400 is a wasteful number, since it uses less digits than its factorization.

104079065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 104079065400 in words is "one hundred four billion, seventy-nine million, sixty-five thousand, four hundred".