104842602846072 has 576 divisors, whose sum is σ = 357421489850880. Its totient is φ = 27035788276224.

The previous prime is 104842602846029. The next prime is 104842602846083. The reversal of 104842602846072 is 270648206248401.

It is a happy number.

104842602846072 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 4 + 2 + 6 + 0 + 28 + 4 + 607 + 2 = 666.

It is a hoax number, since the sum of its digits (54) 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 143 ways as a sum of consecutive naturals, for example, 17700926103 + ... + 17700932025.

It is an arithmetic number, because the mean of its divisors is an integer number (620523419880).

Almost surely, 2^{104842602846072} is an apocalyptic number.

104842602846072 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 104842602846072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178710744925440).

104842602846072 is an abundant number, since it is smaller than the sum of its proper divisors (252578887004808).

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

104842602846072 is a wasteful number, since it uses less digits than its factorization.

104842602846072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 104842602846072 in words is "one hundred four trillion, eight hundred forty-two billion, six hundred two million, eight hundred forty-six thousand, seventy-two".