105760193 has 16 divisors (see below), whose sum is σ = 133077120. Its totient is φ = 81648000.

The previous prime is 105760183. The next prime is 105760201. The reversal of 105760193 is 391067501.

It is not a de Polignac number, because 105760193 - 2⁸ = 105759937 is a prime.

It is a super-2 number, since 2×105760193² = 22370436846794498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105760133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2093 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (8317320).

Almost surely, 2^105760193 is an apocalyptic number.

It is an amenable number.

105760193 is a deficient number, since it is larger than the sum of its proper divisors (27316927).

105760193 is a wasteful number, since it uses less digits than its factorization.

105760193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 105760193 is about 10283.9774892791. The cubic root of 105760193 is about 472.9051877419.

The spelling of 105760193 in words is "one hundred five million, seven hundred sixty thousand, one hundred ninety-three".