105235272 has 24 divisors (see below), whose sum is σ = 285012390. Its totient is φ = 35078400.

The previous prime is 105235259. The next prime is 105235283. The reversal of 105235272 is 272532501.

It can be written as a sum of positive squares in only one way, i.e., 100280196 + 4955076 = 10014^2 + 2226^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105235272² = 22148924945827968, 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 in 5 ways as a sum of consecutive naturals, for example, 730729 + ... + 730872.

Almost surely, 2^105235272 is an apocalyptic number.

105235272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105235272 is an abundant number, since it is smaller than the sum of its proper divisors (179777118).

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

105235272 is a wasteful number, since it uses less digits than its factorization.

105235272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461613 (or 1461606 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105235272 is about 10258.4244404294. The cubic root of 105235272 is about 472.1214974979.

Adding to 105235272 its reverse (272532501), we get a palindrome (377767773).

The spelling of 105235272 in words is "one hundred five million, two hundred thirty-five thousand, two hundred seventy-two".