105492 has 24 divisors (see below), whose sum is σ = 252000. Its totient is φ = 34336.

The previous prime is 105491. The next prime is 105499. The reversal of 105492 is 294501.

It is a super-2 number, since 2×105492² = 22257124128, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2¹⁰⁵⁴⁹² is an apocalyptic number.

105492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105492 is an abundant number, since it is smaller than the sum of its proper divisors (146508).

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

105492 is a wasteful number, since it uses less digits than its factorization.

105492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105492 is about 324.7953201633. The cubic root of 105492 is about 47.2505108984.

Adding to 105492 its reverse (294501), we get a palindrome (399993).

The spelling of 105492 in words is "one hundred five thousand, four hundred ninety-two".