105204432 has 80 divisors (see below), whose sum is σ = 289535040. Its totient is φ = 32802816.

The previous prime is 105204427. The next prime is 105204439. The reversal of 105204432 is 234402501.

It is a super-2 number, since 2×105204432² = 22135945024885248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105204399 and 105204408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105204439) 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 15 ways as a sum of consecutive naturals, for example, 186583 + ... + 187145.

It is an arithmetic number, because the mean of its divisors is an integer number (3619188).

Almost surely, 2^105204432 is an apocalyptic number.

105204432 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 105204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144767520).

105204432 is an abundant number, since it is smaller than the sum of its proper divisors (184330608).

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

105204432 is a wasteful number, since it uses less digits than its factorization.

105204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105204432 is about 10256.9211754795. The cubic root of 105204432 is about 472.0753733887.

Adding to 105204432 its reverse (234402501), we get a palindrome (339606933).

The spelling of 105204432 in words is "one hundred five million, two hundred four thousand, four hundred thirty-two".