105645397 has 32 divisors (see below), whose sum is σ = 130846464. Its totient is φ = 83980800.

The previous prime is 105645383. The next prime is 105645437. The reversal of 105645397 is 793546501.

It is a cyclic number.

It is not a de Polignac number, because 105645397 - 2⁷ = 105645269 is a prime.

It is a super-2 number, since 2×105645397² = 22321899814575218, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105645097) 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 31 ways as a sum of consecutive naturals, for example, 216688 + ... + 217174.

It is an arithmetic number, because the mean of its divisors is an integer number (4088952).

Almost surely, 2^105645397 is an apocalyptic number.

It is an amenable number.

105645397 is a deficient number, since it is larger than the sum of its proper divisors (25201067).

105645397 is a wasteful number, since it uses less digits than its factorization.

105645397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 105645397 is about 10278.3946703753. The cubic root of 105645397 is about 472.7340229077.

The spelling of 105645397 in words is "one hundred five million, six hundred forty-five thousand, three hundred ninety-seven".