105685088 has 24 divisors (see below), whose sum is σ = 209594952. Its totient is φ = 52454656.

The previous prime is 105685081. The next prime is 105685109. The reversal of 105685088 is 880586501.

It is a super-2 number, since 2×105685088² = 22338675651135488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105685081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7670 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (8733123).

Almost surely, 2^105685088 is an apocalyptic number.

It is an amenable number.

105685088 is a deficient number, since it is larger than the sum of its proper divisors (103909864).

105685088 is a wasteful number, since it uses less digits than its factorization.

105685088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24254 (or 24246 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The square root of 105685088 is about 10280.3252866823. The cubic root of 105685088 is about 472.7932175889.

The spelling of 105685088 in words is "one hundred five million, six hundred eighty-five thousand, eighty-eight".