5100106667 has 2 divisors, whose sum is σ = 5100106668. Its totient is φ = 5100106666.

The previous prime is 5100106657. The next prime is 5100106679. The reversal of 5100106667 is 7666010015.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 5100106667 - 2¹⁸ = 5099844523 is a prime.

It is a super-2 number, since 2×5100106667² = 52022176029555697778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5100106637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2550053333 + 2550053334.

It is an arithmetic number, because the mean of its divisors is an integer number (2550053334).

Almost surely, 2^5100106667 is an apocalyptic number.

5100106667 is a deficient number, since it is larger than the sum of its proper divisors (1).

5100106667 is an equidigital number, since it uses as much as digits as its factorization.

5100106667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 5100106667 is about 71415.0310999022. The cubic root of 5100106667 is about 1721.3126210331.

The spelling of 5100106667 in words is "five billion, one hundred million, one hundred six thousand, six hundred sixty-seven".