5105900448 has 144 divisors (see below), whose sum is σ = 16426833696. Its totient is φ = 1547216640.

The previous prime is 5105900417. The next prime is 5105900473. The reversal of 5105900448 is 8440095015.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55690 + ... + 115382.

It is an arithmetic number, because the mean of its divisors is an integer number (114075234).

Almost surely, 2^5105900448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105900448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213416848).

5105900448 is an abundant number, since it is smaller than the sum of its proper divisors (11320933248).

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

5105900448 is a wasteful number, since it uses less digits than its factorization.

5105900448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59729 (or 59709 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5105900448 is about 71455.5837426299. The cubic root of 5105900448 is about 1721.9641848103.

The spelling of 5105900448 in words is "five billion, one hundred five million, nine hundred thousand, four hundred forty-eight".