105739951 has 2 divisors, whose sum is σ = 105739952. Its totient is φ = 105739950.

The previous prime is 105739937. The next prime is 105739957. The reversal of 105739951 is 159937501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105739951 is a prime.

It is a super-3 number, since 3×105739951³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105739957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869975 + 52869976.

It is an arithmetic number, because the mean of its divisors is an integer number (52869976).

Almost surely, 2^105739951 is an apocalyptic number.

105739951 is a deficient number, since it is larger than the sum of its proper divisors (1).

105739951 is an equidigital number, since it uses as much as digits as its factorization.

105739951 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42525, while the sum is 40.

The square root of 105739951 is about 10282.9932898938. The cubic root of 105739951 is about 472.8750152126.

The spelling of 105739951 in words is "one hundred five million, seven hundred thirty-nine thousand, nine hundred fifty-one".