105540041432 has 64 divisors (see below), whose sum is σ = 233061373440. Its totient is φ = 43863840000.

The previous prime is 105540041423. The next prime is 105540041483. The reversal of 105540041432 is 234140045501.

It is a super-2 number, since 2×105540041432² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105540041395 and 105540041404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245807 + ... + 521057.

It is an arithmetic number, because the mean of its divisors is an integer number (3641583960).

Almost surely, 2^105540041432 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 105540041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116530686720).

105540041432 is an abundant number, since it is smaller than the sum of its proper divisors (127521332008).

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

105540041432 is a wasteful number, since it uses less digits than its factorization.

105540041432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275472 (or 275468 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 105540041432 its reverse (234140045501), we get a palindrome (339680086933).

The spelling of 105540041432 in words is "one hundred five billion, five hundred forty million, forty-one thousand, four hundred thirty-two".