105100563131 has 2 divisors, whose sum is σ = 105100563132. Its totient is φ = 105100563130.

The previous prime is 105100563089. The next prime is 105100563133. The reversal of 105100563131 is 131365001501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105100563131 - 2³⁴ = 87920693947 is a prime.

It is a super-2 number, since 2×105100563131² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 105100563133, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105100563131.

It is not a weakly prime, because it can be changed into another prime (105100563133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550281565 + 52550281566.

It is an arithmetic number, because the mean of its divisors is an integer number (52550281566).

Almost surely, 2^105100563131 is an apocalyptic number.

105100563131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100563131 is an equidigital number, since it uses as much as digits as its factorization.

105100563131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 26.

Adding to 105100563131 its reverse (131365001501), we get a palindrome (236465564632).

The spelling of 105100563131 in words is "one hundred five billion, one hundred million, five hundred sixty-three thousand, one hundred thirty-one".