5107101696 has 312 divisors, whose sum is σ = 15742446720. Its totient is φ = 1592524800.

The previous prime is 5107101689. The next prime is 5107101707. The reversal of 5107101696 is 6961017015.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5107101696.

It is a congruent number.

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, 46854090 + ... + 46854198.

It is an arithmetic number, because the mean of its divisors is an integer number (50456560).

Almost surely, 2^5107101696 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 5107101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871223360).

5107101696 is an abundant number, since it is smaller than the sum of its proper divisors (10635345024).

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

5107101696 is a wasteful number, since it uses less digits than its factorization.

5107101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 5107101696 is about 71463.9888055516. The cubic root of 5107101696 is about 1722.0992144594.

It can be divided in two parts, 5 and 107101696, that added together give a palindrome (107101701).

The spelling of 5107101696 in words is "five billion, one hundred seven million, one hundred one thousand, six hundred ninety-six".