105432 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 33440.

The previous prime is 105407. The next prime is 105437. The reversal of 105432 is 234501.

It is a super-2 number, since 2×105432² = 22231813248, 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 (105437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹⁰⁵⁴³² is an apocalyptic number.

105432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

105432 is an abundant number, since it is smaller than the sum of its proper divisors (171048).

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

105432 is a wasteful number, since it uses less digits than its factorization.

105432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105432 is about 324.7029411631. The cubic root of 105432 is about 47.2415510774.

Adding to 105432 its reverse (234501), we get a palindrome (339933).

The spelling of 105432 in words is "one hundred five thousand, four hundred thirty-two".