104115123840 has 1024 divisors, whose sum is σ = 436488192000. Its totient is φ = 20495794176.

The previous prime is 104115123839. The next prime is 104115123841. The reversal of 104115123840 is 48321511401.

It is an interprime number because it is at equal distance from previous prime (104115123839) and next prime (104115123841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104115123798 and 104115123807.

It is not an unprimeable number, because it can be changed into a prime (104115123841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262254522 + ... + 262254918.

It is an arithmetic number, because the mean of its divisors is an integer number (426258000).

Almost surely, 2^104115123840 is an apocalyptic number.

104115123840 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 104115123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218244096000).

104115123840 is an abundant number, since it is smaller than the sum of its proper divisors (332373068160).

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

104115123840 is a wasteful number, since it uses less digits than its factorization.

104115123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 104115123840 in words is "one hundred four billion, one hundred fifteen million, one hundred twenty-three thousand, eight hundred forty".