105089055 has 16 divisors (see below), whose sum is σ = 168294240. Its totient is φ = 55996928.

The previous prime is 105089041. The next prime is 105089063. The reversal of 105089055 is 550980501.

It is a cyclic number.

It is not a de Polignac number, because 105089055 - 2¹⁶ = 105023519 is a prime.

It is a super-2 number, since 2×105089055² = 22087418961586050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19051 + ... + 23939.

It is an arithmetic number, because the mean of its divisors is an integer number (10518390).

Almost surely, 2^105089055 is an apocalyptic number.

105089055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105089055 is a deficient number, since it is larger than the sum of its proper divisors (63205185).

105089055 is a wasteful number, since it uses less digits than its factorization.

105089055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330.

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 105089055 is about 10251.2952840117. The cubic root of 105089055 is about 471.9027362905.

It can be divided in two parts, 10508905 and 5, that multiplied together give a palindrome (52544525).

The spelling of 105089055 in words is "one hundred five million, eighty-nine thousand, fifty-five".