104879105760 has 768 divisors, whose sum is σ = 418260713472. Its totient is φ = 21714739200.

The previous prime is 104879105759. The next prime is 104879105761. The reversal of 104879105760 is 67501978401.

It is an interprime number because it is at equal distance from previous prime (104879105759) and next prime (104879105761).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104879105761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48939249 + ... + 48941391.

It is an arithmetic number, because the mean of its divisors is an integer number (544610304).

Almost surely, 2^104879105760 is an apocalyptic number.

104879105760 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 104879105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209130356736).

104879105760 is an abundant number, since it is smaller than the sum of its proper divisors (313381607712).

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

104879105760 is a wasteful number, since it uses less digits than its factorization.

104879105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 104879105760 in words is "one hundred four billion, eight hundred seventy-nine million, one hundred five thousand, seven hundred sixty".