5100160 has 64 divisors (see below), whose sum is σ = 13151880. Its totient is φ = 1880064.

The previous prime is 5100157. The next prime is 5100167. The reversal of 5100160 is 610015.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 3717184 = 1176^2 + 1928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 5100160.

It is not an unprimeable number, because it can be changed into a prime (5100167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8014 + ... + 8626.

Almost surely, 2^5100160 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 5100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575940).

5100160 is an abundant number, since it is smaller than the sum of its proper divisors (8051720).

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

5100160 is a wasteful number, since it uses less digits than its factorization.

5100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 5100160 is about 2258.3533824448. The cubic root of 5100160 is about 172.1318621067.

Adding to 5100160 its reverse (610015), we get a palindrome (5710175).

The spelling of 5100160 in words is "five million, one hundred thousand, one hundred sixty".