105042993 has 16 divisors (see below), whose sum is σ = 153120000. Its totient is φ = 63524880.

The previous prime is 105042967. The next prime is 105043013. The reversal of 105042993 is 399240501.

It is not a de Polignac number, because 105042993 - 2⁸ = 105042737 is a prime.

It is a super-2 number, since 2×105042993² = 22068060756796098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105042953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13278 + ... + 19656.

It is an arithmetic number, because the mean of its divisors is an integer number (9570000).

Almost surely, 2^105042993 is an apocalyptic number.

It is an amenable number.

105042993 is a deficient number, since it is larger than the sum of its proper divisors (48077007).

105042993 is a wasteful number, since it uses less digits than its factorization.

105042993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 105042993 is about 10249.0483948511. The cubic root of 105042993 is about 471.8337790286.

The spelling of 105042993 in words is "one hundred five million, forty-two thousand, nine hundred ninety-three".