123079105700 has 72 divisors (see below), whose sum is σ = 270545184000. Its totient is φ = 48595106560.

The previous prime is 123079105691. The next prime is 123079105703. The reversal of 123079105700 is 7501970321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123079105703) 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, 5319557 + ... + 5342643.

It is an arithmetic number, because the mean of its divisors is an integer number (3757572000).

Almost surely, 2^123079105700 is an apocalyptic number.

123079105700 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 123079105700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135272592000).

123079105700 is an abundant number, since it is smaller than the sum of its proper divisors (147466078300).

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

123079105700 is a wasteful number, since it uses less digits than its factorization.

123079105700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23789 (or 23782 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The spelling of 123079105700 in words is "one hundred twenty-three billion, seventy-nine million, one hundred five thousand, seven hundred".