4105432100 has 144 divisors (see below), whose sum is σ = 11178617856. Its totient is φ = 1271376000.

The previous prime is 4105432091. The next prime is 4105432103. The reversal of 4105432100 is 12345014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4105432103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253465 + ... + 1256735.

Almost surely, 2^4105432100 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 4105432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589308928).

4105432100 is an abundant number, since it is smaller than the sum of its proper divisors (7073185756).

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

4105432100 is a wasteful number, since it uses less digits than its factorization.

4105432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4105432100 is about 64073.6459084388. The cubic root of 4105432100 is about 1601.2271965231.

Adding to 4105432100 its reverse (12345014), we get a palindrome (4117777114).

The spelling of 4105432100 in words is "four billion, one hundred five million, four hundred thirty-two thousand, one hundred".