105559103 has 16 divisors (see below), whose sum is σ = 122179680. Its totient is φ = 90326016.

The previous prime is 105559087. The next prime is 105559147. The reversal of 105559103 is 301955501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105559103 - 2⁴ = 105559087 is a prime.

It is a super-2 number, since 2×105559103² = 22285448452329218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105559163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11243 + ... + 18371.

It is an arithmetic number, because the mean of its divisors is an integer number (7636230).

Almost surely, 2^105559103 is an apocalyptic number.

105559103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105559103 is a deficient number, since it is larger than the sum of its proper divisors (16620577).

105559103 is a wasteful number, since it uses less digits than its factorization.

105559103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226.

The product of its (nonzero) digits is 3375, while the sum is 29.

The square root of 105559103 is about 10274.1959782749. The cubic root of 105559103 is about 472.6052738938.

The spelling of 105559103 in words is "one hundred five million, five hundred fifty-nine thousand, one hundred three".