105509334 has 16 divisors (see below), whose sum is σ = 241164288. Its totient is φ = 30145512.

The previous prime is 105509333. The next prime is 105509357. The reversal of 105509334 is 433905501.

It is a super-2 number, since 2×105509334² = 22264439122247112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105509333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256022 + ... + 1256105.

It is an arithmetic number, because the mean of its divisors is an integer number (15072768).

Almost surely, 2^105509334 is an apocalyptic number.

105509334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105509334 is an abundant number, since it is smaller than the sum of its proper divisors (135654954).

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

105509334 is a wasteful number, since it uses less digits than its factorization.

105509334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512139.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 105509334 is about 10271.7736540483. The cubic root of 105509334 is about 472.5309875817.

The spelling of 105509334 in words is "one hundred five million, five hundred nine thousand, three hundred thirty-four".