105535916 has 12 divisors (see below), whose sum is σ = 184798320. Its totient is φ = 52736400.

The previous prime is 105535907. The next prime is 105535979. The reversal of 105535916 is 619535501.

It is a happy number.

It is a super-2 number, since 2×105535916² = 22275659131918112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665 + ... + 14543.

It is an arithmetic number, because the mean of its divisors is an integer number (15399860).

Almost surely, 2^105535916 is an apocalyptic number.

It is an amenable number.

105535916 is a deficient number, since it is larger than the sum of its proper divisors (79262404).

105535916 is a wasteful number, since it uses less digits than its factorization.

105535916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15782 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 35.

The square root of 105535916 is about 10273.0675068355. The cubic root of 105535916 is about 472.5706673696.

The spelling of 105535916 in words is "one hundred five million, five hundred thirty-five thousand, nine hundred sixteen".