105544080 has 160 divisors (see below), whose sum is σ = 367297920. Its totient is φ = 27855360.

The previous prime is 105544067. The next prime is 105544081. The reversal of 105544080 is 80445501.

It is a super-2 number, since 2×105544080² = 22279105646092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105544081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282774 + ... + 283146.

It is an arithmetic number, because the mean of its divisors is an integer number (2295612).

Almost surely, 2^105544080 is an apocalyptic number.

105544080 is a gapful number since it is divisible by the number (10) 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 105544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

105544080 is an abundant number, since it is smaller than the sum of its proper divisors (261753840).

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

105544080 is a wasteful number, since it uses less digits than its factorization.

105544080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105544080 is about 10273.4648488229. The cubic root of 105544080 is about 472.5828526919.

Adding to 105544080 its reverse (80445501), we get a palindrome (185989581).

The spelling of 105544080 in words is "one hundred five million, five hundred forty-four thousand, eighty".