105349695 has 32 divisors (see below), whose sum is σ = 184564224. Its totient is φ = 50889600.

The previous prime is 105349691. The next prime is 105349703. The reversal of 105349695 is 596943501.

It is a Cunningham number, because it is equal to 10264²-1.

It is not a de Polignac number, because 105349695 - 2² = 105349691 is a prime.

It is a super-2 number, since 2×105349695² = 22197116473186050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105349691) 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, 50289 + ... + 52341.

It is an arithmetic number, because the mean of its divisors is an integer number (5767632).

Almost surely, 2^105349695 is an apocalyptic number.

105349695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105349695 is a deficient number, since it is larger than the sum of its proper divisors (79214529).

105349695 is a wasteful number, since it uses less digits than its factorization.

105349695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 105349695 is about 10263.9999512860. Note that the first 4 decimals coincide. The cubic root of 105349695 is about 472.2925491158.

The spelling of 105349695 in words is "one hundred five million, three hundred forty-nine thousand, six hundred ninety-five".