105010432 has 36 divisors (see below), whose sum is σ = 211094100. Its totient is φ = 52133888.

The previous prime is 105010391. The next prime is 105010439. The reversal of 105010432 is 234010501.

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 48219136 = 7536^2 + 6944^2 .

It is a super-2 number, since 2×105010432² = 22054381657653248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36768 + ... + 39520.

It is an arithmetic number, because the mean of its divisors is an integer number (5863725).

Almost surely, 2^105010432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105547050).

105010432 is an abundant number, since it is smaller than the sum of its proper divisors (106083668).

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

105010432 is an equidigital number, since it uses as much as digits as its factorization.

105010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105010432 is about 10247.4597827950. The cubic root of 105010432 is about 471.7850213186.

Adding to 105010432 its reverse (234010501), we get a palindrome (339020933).

The spelling of 105010432 in words is "one hundred five million, ten thousand, four hundred thirty-two".