105104440110 has 64 divisors (see below), whose sum is σ = 260992917504. Its totient is φ = 27060691200.

The previous prime is 105104440099. The next prime is 105104440153. The reversal of 105104440110 is 11044401501.

It is a super-2 number, since 2×105104440110² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269722 + ... + 531938.

It is an arithmetic number, because the mean of its divisors is an integer number (4078014336).

Almost surely, 2^105104440110 is an apocalyptic number.

105104440110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105104440110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130496458752).

105104440110 is an abundant number, since it is smaller than the sum of its proper divisors (155888477394).

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

105104440110 is a wasteful number, since it uses less digits than its factorization.

105104440110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262689.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 105104440110 its reverse (11044401501), we get a palindrome (116148841611).

The spelling of 105104440110 in words is "one hundred five billion, one hundred four million, four hundred forty thousand, one hundred ten".