5100106661 has 8 divisors (see below), whose sum is σ = 5513797464. Its totient is φ = 4689469440.

The previous prime is 5100106657. The next prime is 5100106667. The reversal of 5100106661 is 1666010015.

5100106661 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3085802500 + 2014304161 = 55550^2 + 44881^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5100106661 - 2² = 5100106657 is a prime.

It is a super-2 number, since 2×5100106661² = 52022175907153137842, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5100106661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100106667) 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, 759920 + ... + 766601.

It is an arithmetic number, because the mean of its divisors is an integer number (689224683).

Almost surely, 2^5100106661 is an apocalyptic number.

It is an amenable number.

5100106661 is a deficient number, since it is larger than the sum of its proper divisors (413690803).

5100106661 is a wasteful number, since it uses less digits than its factorization.

5100106661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526791.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 5100106661 is about 71415.0310578942. The cubic root of 5100106661 is about 1721.3126203581.

Adding to 5100106661 its reverse (1666010015), we get a palindrome (6766116676).

The spelling of 5100106661 in words is "five billion, one hundred million, one hundred six thousand, six hundred sixty-one".