105538272 has 48 divisors (see below), whose sum is σ = 316616832. Its totient is φ = 30153600.

The previous prime is 105538243. The next prime is 105538313. The reversal of 105538272 is 272835501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105538272² = 22276653713491968, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 77854 + ... + 79197.

It is an arithmetic number, because the mean of its divisors is an integer number (6596184).

Almost surely, 2^105538272 is an apocalyptic number.

105538272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105538272 is an abundant number, since it is smaller than the sum of its proper divisors (211078560).

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

105538272 is a wasteful number, since it uses less digits than its factorization.

105538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157071 (or 157063 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 105538272 is about 10273.1821749641. The cubic root of 105538272 is about 472.5741839235.

The spelling of 105538272 in words is "one hundred five million, five hundred thirty-eight thousand, two hundred seventy-two".