105601011105 has 32 divisors (see below), whose sum is σ = 171367612416. Its totient is φ = 55523450304.

The previous prime is 105601011041. The next prime is 105601011119. The reversal of 105601011105 is 501110106501.

It is a happy number.

It is not a de Polignac number, because 105601011105 - 2⁶ = 105601011041 is a prime.

It is a super-2 number, since 2×105601011105² (a number of 23 digits) contains 22 as substring.

It is a Curzon 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, 191284 + ... + 497786.

It is an arithmetic number, because the mean of its divisors is an integer number (5355237888).

Almost surely, 2^105601011105 is an apocalyptic number.

105601011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105601011105 is a deficient number, since it is larger than the sum of its proper divisors (65766601311).

105601011105 is a wasteful number, since it uses less digits than its factorization.

105601011105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306837.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105601011105 its reverse (501110106501), we get a palindrome (606711117606).

The spelling of 105601011105 in words is "one hundred five billion, six hundred one million, eleven thousand, one hundred five".