105938929 has 2 divisors, whose sum is σ = 105938930. Its totient is φ = 105938928.

The previous prime is 105938923. The next prime is 105938933. The reversal of 105938929 is 929839501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82319329 + 23619600 = 9073^2 + 4860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105938929 is a prime.

It is a super-2 number, since 2×105938929² = 22446113355334082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105938923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52969464 + 52969465.

It is an arithmetic number, because the mean of its divisors is an integer number (52969465).

Almost surely, 2^105938929 is an apocalyptic number.

It is an amenable number.

105938929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105938929 is an equidigital number, since it uses as much as digits as its factorization.

105938929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 105938929 is about 10292.6638437287. The cubic root of 105938929 is about 473.1714429611.

The spelling of 105938929 in words is "one hundred five million, nine hundred thirty-eight thousand, nine hundred twenty-nine".