105997193 has 16 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 94784256.

The previous prime is 105997187. The next prime is 105997201. The reversal of 105997193 is 391799501.

It is a cyclic number.

It is not a de Polignac number, because 105997193 - 2⁸ = 105996937 is a prime.

It is a super-2 number, since 2×105997193² = 22470809847758498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105997103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25088 + ... + 29006.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2^105997193 is an apocalyptic number.

It is an amenable number.

105997193 is a deficient number, since it is larger than the sum of its proper divisors (11979127).

105997193 is a wasteful number, since it uses less digits than its factorization.

105997193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016.

The product of its (nonzero) digits is 76545, while the sum is 44.

The square root of 105997193 is about 10295.4938201137. The cubic root of 105997193 is about 473.2581715719.

The spelling of 105997193 in words is "one hundred five million, nine hundred ninety-seven thousand, one hundred ninety-three".