105072539 has 24 divisors (see below), whose sum is σ = 128466000. Its totient is φ = 85088640.

The previous prime is 105072497. The next prime is 105072551. The reversal of 105072539 is 935270501.

It is not a de Polignac number, because 105072539 - 2¹² = 105068443 is a prime.

It is a super-2 number, since 2×105072539² = 22080476903813042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105074539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52937 + ... + 54885.

It is an arithmetic number, because the mean of its divisors is an integer number (5352750).

Almost surely, 2^105072539 is an apocalyptic number.

105072539 is a deficient number, since it is larger than the sum of its proper divisors (23393461).

105072539 is a wasteful number, since it uses less digits than its factorization.

105072539 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 105072539 is about 10250.4896956194. The cubic root of 105072539 is about 471.8780132784.

The spelling of 105072539 in words is "one hundred five million, seventy-two thousand, five hundred thirty-nine".