5106344160 has 192 divisors, whose sum is σ = 16579563840. Its totient is φ = 1320468480.

The previous prime is 5106344147. The next prime is 5106344189. The reversal of 5106344160 is 614436015.

It is a super-2 number, since 2×5106344160² = 52149501360732211200, which contains 22 as substring.

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

It is a congruent number.

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, 2136246 + ... + 2138634.

It is an arithmetic number, because the mean of its divisors is an integer number (86351895).

Almost surely, 2^5106344160 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 5106344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289781920).

5106344160 is an abundant number, since it is smaller than the sum of its proper divisors (11473219680).

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

5106344160 is a wasteful number, since it uses less digits than its factorization.

5106344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5106344160 is about 71458.6884850261. The cubic root of 5106344160 is about 1722.0140639680.

The spelling of 5106344160 in words is "five billion, one hundred six million, three hundred forty-four thousand, one hundred sixty".