105111104 has 84 divisors (see below), whose sum is σ = 251228352. Its totient is φ = 42662400.

The previous prime is 105111103. The next prime is 105111121. The reversal of 105111104 is 401111501.

It is a super-2 number, since 2×105111104² = 22096688368197632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1040654 + ... + 1040754.

Almost surely, 2^105111104 is an apocalyptic number.

105111104 is a gapful number since it is divisible by the number (14) 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 105111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125614176).

105111104 is an abundant number, since it is smaller than the sum of its proper divisors (146117248).

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

105111104 is an equidigital number, since it uses as much as digits as its factorization.

105111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 105111104 is about 10252.3706526832. The cubic root of 105111104 is about 471.9357376842.

Adding to 105111104 its reverse (401111501), we get a palindrome (506222605).

The spelling of 105111104 in words is "one hundred five million, one hundred eleven thousand, one hundred four".