105829769 has 2 divisors, whose sum is σ = 105829770. Its totient is φ = 105829768.

The previous prime is 105829727. The next prime is 105829771. The reversal of 105829769 is 967928501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100260169 + 5569600 = 10013^2 + 2360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105829769 is a prime.

It is a super-2 number, since 2×105829769² = 22399880013186722, which contains 22 as substring.

Together with 105829771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105829799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52914884 + 52914885.

It is an arithmetic number, because the mean of its divisors is an integer number (52914885).

Almost surely, 2^105829769 is an apocalyptic number.

It is an amenable number.

105829769 is a deficient number, since it is larger than the sum of its proper divisors (1).

105829769 is an equidigital number, since it uses as much as digits as its factorization.

105829769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 105829769 is about 10287.3596709749. The cubic root of 105829769 is about 473.0088677051.

The spelling of 105829769 in words is "one hundred five million, eight hundred twenty-nine thousand, seven hundred sixty-nine".