105611000012 has 96 divisors (see below), whose sum is σ = 221149716480. Its totient is φ = 43179816960.

The previous prime is 105610999969. The next prime is 105611000029. The reversal of 105611000012 is 210000116501.

It is a super-2 number, since 2×105611000012² (a number of 23 digits) contains 22 as substring.

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, 22646393 + ... + 22651055.

It is an arithmetic number, because the mean of its divisors is an integer number (2303642880).

Almost surely, 2^105611000012 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 105611000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110574858240).

105611000012 is an abundant number, since it is smaller than the sum of its proper divisors (115538716468).

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

105611000012 is a wasteful number, since it uses less digits than its factorization.

105611000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 105611000012 its reverse (210000116501), we get a palindrome (315611116513).

The spelling of 105611000012 in words is "one hundred five billion, six hundred eleven million, twelve", and thus it is an aban number.