105757123 has 2 divisors, whose sum is σ = 105757124. Its totient is φ = 105757122.

The previous prime is 105757111. The next prime is 105757129. The reversal of 105757123 is 321757501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105757123 - 2⁹ = 105756611 is a prime.

It is a super-2 number, since 2×105757123² = 22369138130474258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105757129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52878561 + 52878562.

It is an arithmetic number, because the mean of its divisors is an integer number (52878562).

Almost surely, 2^105757123 is an apocalyptic number.

105757123 is a deficient number, since it is larger than the sum of its proper divisors (1).

105757123 is an equidigital number, since it uses as much as digits as its factorization.

105757123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105757123 is about 10283.8282268813. The cubic root of 105757123 is about 472.9006118773.

The spelling of 105757123 in words is "one hundred five million, seven hundred fifty-seven thousand, one hundred twenty-three".