105537966 has 16 divisors (see below), whose sum is σ = 211754064. Its totient is φ = 35066304.

The previous prime is 105537941. The next prime is 105537973. The reversal of 105537966 is 669735501.

It is a happy number.

It is a super-2 number, since 2×105537966² = 22276524534834312, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 26221 + ... + 29976.

It is an arithmetic number, because the mean of its divisors is an integer number (13234629).

Almost surely, 2^105537966 is an apocalyptic number.

105537966 is an abundant number, since it is smaller than the sum of its proper divisors (106216098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105537966 is a wasteful number, since it uses less digits than its factorization.

105537966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56515.

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 105537966 is about 10273.1672818075. The cubic root of 105537966 is about 472.5737271924.

The spelling of 105537966 in words is "one hundred five million, five hundred thirty-seven thousand, nine hundred sixty-six".