105122193 has 32 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 60062400.

The previous prime is 105122189. The next prime is 105122197. The reversal of 105122193 is 391221501.

It is an interprime number because it is at equal distance from previous prime (105122189) and next prime (105122197).

It is not a de Polignac number, because 105122193 - 2² = 105122189 is a prime.

It is a super-2 number, since 2×105122193² = 22101350922258498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105122197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243688 + ... + 244118.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2^105122193 is an apocalyptic number.

It is an amenable number.

105122193 is a deficient number, since it is larger than the sum of its proper divisors (56618607).

105122193 is a wasteful number, since it uses less digits than its factorization.

105122193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 105122193 is about 10252.9114401715. The cubic root of 105122193 is about 471.9523331759.

Adding to 105122193 its reverse (391221501), we get a palindrome (496343694).

The spelling of 105122193 in words is "one hundred five million, one hundred twenty-two thousand, one hundred ninety-three".