105018929 has 2 divisors, whose sum is σ = 105018930. Its totient is φ = 105018928.

The previous prime is 105018863. The next prime is 105018931. The reversal of 105018929 is 929810501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69889600 + 35129329 = 8360^2 + 5927^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105018929 is a prime.

It is a super-2 number, since 2×105018929² = 22057950896614082, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105018931, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105018229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52509464 + 52509465.

It is an arithmetic number, because the mean of its divisors is an integer number (52509465).

Almost surely, 2^105018929 is an apocalyptic number.

It is an amenable number.

105018929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105018929 is an equidigital number, since it uses as much as digits as its factorization.

105018929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 105018929 is about 10247.8743649598. The cubic root of 105018929 is about 471.7977459249.

The spelling of 105018929 in words is "one hundred five million, eighteen thousand, nine hundred twenty-nine".