104976992592 has 120 divisors (see below), whose sum is σ = 302020502784. Its totient is φ = 34013820672.

The previous prime is 104976992591. The next prime is 104976992597. The reversal of 104976992592 is 295299679401.

104976992592 is a `hidden beast` number, since 1 + 0 + 497 + 6 + 9 + 92 + 59 + 2 = 666.

It is a super-3 number, since 3×104976992592³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104976992591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5867853 + ... + 5885715.

Almost surely, 2^104976992592 is an apocalyptic number.

104976992592 is a gapful number since it is divisible by the number (12) 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 104976992592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151010251392).

104976992592 is an abundant number, since it is smaller than the sum of its proper divisors (197043510192).

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

104976992592 is a wasteful number, since it uses less digits than its factorization.

104976992592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19017 (or 19008 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 104976992592 in words is "one hundred four billion, nine hundred seventy-six million, nine hundred ninety-two thousand, five hundred ninety-two".