105105611103 has 8 divisors (see below), whose sum is σ = 140146349616. Its totient is φ = 70067640000.

The previous prime is 105105611101. The next prime is 105105611113. The reversal of 105105611103 is 301116501501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105105611103 - 2¹ = 105105611101 is a prime.

It is a super-2 number, since 2×105105611103² (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 (105105611101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601548 + ... + 756353.

It is an arithmetic number, because the mean of its divisors is an integer number (17518293702).

Almost surely, 2^105105611103 is an apocalyptic number.

105105611103 is a deficient number, since it is larger than the sum of its proper divisors (35040738513).

105105611103 is a wasteful number, since it uses less digits than its factorization.

105105611103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383705.

The product of its (nonzero) digits is 450, while the sum is 24.

The spelling of 105105611103 in words is "one hundred five billion, one hundred five million, six hundred eleven thousand, one hundred three".