104157906840 has 384 divisors, whose sum is σ = 381405024000. Its totient is φ = 24473788416.

The previous prime is 104157906821. The next prime is 104157906851. The reversal of 104157906840 is 48609751401.

104157906840 is a `hidden beast` number, since 10 + 4 + 1 + 579 + 0 + 68 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12074769 + ... + 12083391.

It is an arithmetic number, because the mean of its divisors is an integer number (993242250).

Almost surely, 2^104157906840 is an apocalyptic number.

104157906840 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 104157906840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702512000).

104157906840 is an abundant number, since it is smaller than the sum of its proper divisors (277247117160).

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

104157906840 is a wasteful number, since it uses less digits than its factorization.

104157906840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8771 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 104157906840 in words is "one hundred four billion, one hundred fifty-seven million, nine hundred six thousand, eight hundred forty".