1105106111010 has 96 divisors (see below), whose sum is σ = 3219198645312. Its totient is φ = 260663840640.

The previous prime is 1105106110939. The next prime is 1105106111017. The reversal of 1105106111010 is 101116015011.

It is a happy number.

1105106111010 is a `hidden beast` number, since 1 + 1 + 0 + 51 + 0 + 611 + 1 + 0 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1105106111017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15048084 + ... + 15121343.

It is an arithmetic number, because the mean of its divisors is an integer number (33533319222).

Almost surely, 2^{1105106111010} is an apocalyptic number.

1105106111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1105106111010 is an abundant number, since it is smaller than the sum of its proper divisors (2114092534302).

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

1105106111010 is a wasteful number, since it uses less digits than its factorization.

1105106111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30169488 (or 30169485 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 1105106111010 in words is "one trillion, one hundred five billion, one hundred six million, one hundred eleven thousand, ten".