105911027712 has 480 divisors, whose sum is σ = 364050086400. Its totient is φ = 30050942976.

The previous prime is 105911027707. The next prime is 105911027713. The reversal of 105911027712 is 217720119501.

It is a super-2 number, since 2×105911027712² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105911027713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258950964 + ... + 258951372.

It is an arithmetic number, because the mean of its divisors is an integer number (758437680).

Almost surely, 2^105911027712 is an apocalyptic number.

105911027712 is a gapful number since it is divisible by the number (12) 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 105911027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182025043200).

105911027712 is an abundant number, since it is smaller than the sum of its proper divisors (258139058688).

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

105911027712 is an equidigital number, since it uses as much as digits as its factorization.

105911027712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 105911027712 in words is "one hundred five billion, nine hundred eleven million, twenty-seven thousand, seven hundred twelve".