105012432 has 60 divisors (see below), whose sum is σ = 335876320. Its totient is φ = 30003264.

The previous prime is 105012421. The next prime is 105012437. The reversal of 105012432 is 234210501.

It is a super-2 number, since 2×105012432² = 22055221749109248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105012437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51082 + ... + 53097.

Almost surely, 2^105012432 is an apocalyptic number.

105012432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105012432 is an abundant number, since it is smaller than the sum of its proper divisors (230863888).

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

105012432 is a wasteful number, since it uses less digits than its factorization.

105012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104200 (or 104191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105012432 is about 10247.5573674901. The cubic root of 105012432 is about 471.7880164624.

Adding to 105012432 its reverse (234210501), we get a palindrome (339222933).

The spelling of 105012432 in words is "one hundred five million, twelve thousand, four hundred thirty-two".