105116731 has 2 divisors, whose sum is σ = 105116732. Its totient is φ = 105116730.

The previous prime is 105116699. The next prime is 105116749. The reversal of 105116731 is 137611501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105116731 - 2⁵ = 105116699 is a prime.

It is a super-2 number, since 2×105116731² = 22099054272252722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105116696 and 105116705.

It is not a weakly prime, because it can be changed into another prime (105116771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558365 + 52558366.

It is an arithmetic number, because the mean of its divisors is an integer number (52558366).

Almost surely, 2^105116731 is an apocalyptic number.

105116731 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116731 is an equidigital number, since it uses as much as digits as its factorization.

105116731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105116731 is about 10252.6450733457. The cubic root of 105116731 is about 471.9441590431.

The spelling of 105116731 in words is "one hundred five million, one hundred sixteen thousand, seven hundred thirty-one".