105008432 has 40 divisors (see below), whose sum is σ = 215343360. Its totient is φ = 49501760.

The previous prime is 105008411. The next prime is 105008441. The reversal of 105008432 is 234800501.

It is a super-2 number, since 2×105008432² = 22053541582197248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 105008398 and 105008407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24119 + ... + 28137.

It is an arithmetic number, because the mean of its divisors is an integer number (5383584).

Almost surely, 2^105008432 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 105008432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107671680).

105008432 is an abundant number, since it is smaller than the sum of its proper divisors (110334928).

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

105008432 is a wasteful number, since it uses less digits than its factorization.

105008432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105008432 is about 10247.3621971705. The cubic root of 105008432 is about 471.7820261367.

Adding to 105008432 its reverse (234800501), we get a palindrome (339808933).

The spelling of 105008432 in words is "one hundred five million, eight thousand, four hundred thirty-two".