105742323 has 12 divisors (see below), whose sum is σ = 158006160. Its totient is φ = 68063856.

The previous prime is 105742313. The next prime is 105742379. The reversal of 105742323 is 323247501.

It is not a de Polignac number, because 105742323 - 2⁵ = 105742291 is a prime.

It is a super-2 number, since 2×105742323² = 22362877746872658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105742313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202311 + ... + 202832.

It is an arithmetic number, because the mean of its divisors is an integer number (13167180).

Almost surely, 2^105742323 is an apocalyptic number.

105742323 is a deficient number, since it is larger than the sum of its proper divisors (52263837).

105742323 is a wasteful number, since it uses less digits than its factorization.

105742323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405178 (or 405175 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105742323 is about 10283.1086253137. The cubic root of 105742323 is about 472.8785510920.

Adding to 105742323 its reverse (323247501), we get a palindrome (428989824).

The spelling of 105742323 in words is "one hundred five million, seven hundred forty-two thousand, three hundred twenty-three".