105610441101 has 16 divisors (see below), whose sum is σ = 153628400640. Its totient is φ = 64000822320.

The previous prime is 105610441081. The next prime is 105610441103. The reversal of 105610441101 is 101144016501.

It is not a de Polignac number, because 105610441101 - 2⁹ = 105610440589 is a prime.

It is a super-2 number, since 2×105610441101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610441103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269820 + ... + 532938.

It is an arithmetic number, because the mean of its divisors is an integer number (9601775040).

Almost surely, 2^105610441101 is an apocalyptic number.

105610441101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105610441101 is a deficient number, since it is larger than the sum of its proper divisors (48017959539).

105610441101 is a wasteful number, since it uses less digits than its factorization.

105610441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275296.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 105610441101 its reverse (101144016501), we get a palindrome (206754457602).

The spelling of 105610441101 in words is "one hundred five billion, six hundred ten million, four hundred forty-one thousand, one hundred one".