105537956 has 6 divisors (see below), whose sum is σ = 184691430. Its totient is φ = 52768976.

The previous prime is 105537941. The next prime is 105537973. The reversal of 105537956 is 659735501.

It can be written as a sum of positive squares in only one way, i.e., 103347556 + 2190400 = 10166^2 + 1480^2 .

It is a super-2 number, since 2×105537956² = 22276520313315872, which contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 13192241 + ... + 13192248.

It is an arithmetic number, because the mean of its divisors is an integer number (30781905).

Almost surely, 2^105537956 is an apocalyptic number.

It is an amenable number.

105537956 is a deficient number, since it is larger than the sum of its proper divisors (79153474).

105537956 is a wasteful number, since it uses less digits than its factorization.

105537956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26384493 (or 26384491 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 41.

The square root of 105537956 is about 10273.1667951027. The cubic root of 105537956 is about 472.5737122665.

The spelling of 105537956 in words is "one hundred five million, five hundred thirty-seven thousand, nine hundred fifty-six".