5105843460 has 72 divisors (see below), whose sum is σ = 15530126976. Its totient is φ = 1357830720.

The previous prime is 5105843401. The next prime is 5105843467. The reversal of 5105843460 is 643485015.

It is a happy number.

5105843460 is a `hidden beast` number, since 5 + 10 + 584 + 3 + 4 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5105843467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27415 + ... + 104705.

It is an arithmetic number, because the mean of its divisors is an integer number (215696208).

Almost surely, 2^5105843460 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 5105843460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765063488).

5105843460 is an abundant number, since it is smaller than the sum of its proper divisors (10424283516).

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

5105843460 is a wasteful number, since it uses less digits than its factorization.

5105843460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77673 (or 77668 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5105843460 is about 71455.1849763192. The cubic root of 5105843460 is about 1721.9577783883.

The spelling of 5105843460 in words is "five billion, one hundred five million, eight hundred forty-three thousand, four hundred sixty".