105692749 has 2 divisors, whose sum is σ = 105692750. Its totient is φ = 105692748.

The previous prime is 105692747. The next prime is 105692813. The reversal of 105692749 is 947296501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103164649 + 2528100 = 10157^2 + 1590^2 .

It is a cyclic number.

It is not a de Polignac number, because 105692749 - 2¹ = 105692747 is a prime.

It is a super-2 number, since 2×105692749² = 22341914382354002, which contains 22 as substring.

Together with 105692747, it forms a pair of twin primes.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105692747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52846374 + 52846375.

It is an arithmetic number, because the mean of its divisors is an integer number (52846375).

Almost surely, 2^105692749 is an apocalyptic number.

It is an amenable number.

105692749 is a deficient number, since it is larger than the sum of its proper divisors (1).

105692749 is an equidigital number, since it uses as much as digits as its factorization.

105692749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 105692749 is about 10280.6978848714. The cubic root of 105692749 is about 472.8046414060.

The spelling of 105692749 in words is "one hundred five million, six hundred ninety-two thousand, seven hundred forty-nine".