104113777720 has 128 divisors (see below), whose sum is σ = 242331264000. Its totient is φ = 40235659776.

The previous prime is 104113777697. The next prime is 104113777723. The reversal of 104113777720 is 27777311401.

It is a super-2 number, since 2×104113777720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104113777723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70204099 + ... + 70205581.

It is an arithmetic number, because the mean of its divisors is an integer number (1893213000).

Almost surely, 2^104113777720 is an apocalyptic number.

104113777720 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 104113777720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121165632000).

104113777720 is an abundant number, since it is smaller than the sum of its proper divisors (138217486280).

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

104113777720 is a wasteful number, since it uses less digits than its factorization.

104113777720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 104113777720 in words is "one hundred four billion, one hundred thirteen million, seven hundred seventy-seven thousand, seven hundred twenty".