105345432 has 48 divisors (see below), whose sum is σ = 285806040. Its totient is φ = 35054208.

The previous prime is 105345431. The next prime is 105345463. The reversal of 105345432 is 234543501.

It is a super-2 number, since 2×105345432² = 22195320086533248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105345396 and 105345405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62748 + ... + 64404.

Almost surely, 2^105345432 is an apocalyptic number.

105345432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105345432 is an abundant number, since it is smaller than the sum of its proper divisors (180460608).

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

105345432 is a wasteful number, since it uses less digits than its factorization.

105345432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 105345432 is about 10263.7922816082. The cubic root of 105345432 is about 472.2861785538.

Adding to 105345432 its reverse (234543501), we get a palindrome (339888933).

The spelling of 105345432 in words is "one hundred five million, three hundred forty-five thousand, four hundred thirty-two".