104849137920 has 288 divisors, whose sum is σ = 353556403200. Its totient is φ = 26407821312.

The previous prime is 104849137919. The next prime is 104849137957. The reversal of 104849137920 is 29731948401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104849137920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26190639 + ... + 26194641.

It is an arithmetic number, because the mean of its divisors is an integer number (1227626400).

Almost surely, 2^104849137920 is an apocalyptic number.

104849137920 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 104849137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176778201600).

104849137920 is an abundant number, since it is smaller than the sum of its proper divisors (248707265280).

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

104849137920 is a wasteful number, since it uses less digits than its factorization.

104849137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 104849137920 in words is "one hundred four billion, eight hundred forty-nine million, one hundred thirty-seven thousand, nine hundred twenty".