105537056 has 12 divisors (see below), whose sum is σ = 207776142. Its totient is φ = 52768512.

The previous prime is 105537031. The next prime is 105537059. The reversal of 105537056 is 650735501.

It can be written as a sum of positive squares in only one way, i.e., 97219600 + 8317456 = 9860^2 + 2884^2 .

It is a super-2 number, since 2×105537056² = 22276140378294272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3298033 = 105537056 / (1 + 0 + 5 + 5 + 3 + 7 + 0 + 5 + 6).

It is not an unprimeable number, because it can be changed into a prime (105537059) by changing a digit.

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, 1648985 + ... + 1649048.

Almost surely, 2^105537056 is an apocalyptic number.

105537056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105537056 is a deficient number, since it is larger than the sum of its proper divisors (102239086).

105537056 is an equidigital number, since it uses as much as digits as its factorization.

105537056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298043 (or 3298035 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 32.

The square root of 105537056 is about 10273.1229915737. The cubic root of 105537056 is about 472.5723689345.

The spelling of 105537056 in words is "one hundred five million, five hundred thirty-seven thousand, fifty-six".