105500500050031 has 2 divisors, whose sum is σ = 105500500050032. Its totient is φ = 105500500050030.

The previous prime is 105500500049983. The next prime is 105500500050059. The reversal of 105500500050031 is 130050005005501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105500500050031 - 2⁹ = 105500500049519 is a prime.

It is a super-2 number, since 2×105500500050031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105500500049978 and 105500500050005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105500500050061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750250025015 + 52750250025016.

It is an arithmetic number, because the mean of its divisors is an integer number (52750250025016).

Almost surely, 2^{105500500050031} is an apocalyptic number.

105500500050031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500500050031 is an equidigital number, since it uses as much as digits as its factorization.

105500500050031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1875, while the sum is 25.

Adding to 105500500050031 its reverse (130050005005501), we get a palindrome (235550505055532).

The spelling of 105500500050031 in words is "one hundred five trillion, five hundred billion, five hundred million, fifty thousand, thirty-one".