105032264 has 16 divisors (see below), whose sum is σ = 197347200. Its totient is φ = 52406352.

The previous prime is 105032261. The next prime is 105032269. The reversal of 105032264 is 462230501.

It is a super-3 number, since 3×105032264³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105032261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9584 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (12334200).

Almost surely, 2^105032264 is an apocalyptic number.

It is an amenable number.

105032264 is a deficient number, since it is larger than the sum of its proper divisors (92314936).

105032264 is a wasteful number, since it uses less digits than its factorization.

105032264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27452 (or 27448 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 105032264 is about 10248.5249670379. The cubic root of 105032264 is about 471.8177142510.

Adding to 105032264 its reverse (462230501), we get a palindrome (567262765).

The spelling of 105032264 in words is "one hundred five million, thirty-two thousand, two hundred sixty-four".