105319104 has 112 divisors (see below), whose sum is σ = 310749696. Its totient is φ = 31206400.

The previous prime is 105319103. The next prime is 105319111. The reversal of 105319104 is 401913501.

It is a super-2 number, since 2×105319104² = 22184227334725632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105319103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98734 + ... + 99794.

Almost surely, 2^105319104 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 105319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155374848).

105319104 is an abundant number, since it is smaller than the sum of its proper divisors (205430592).

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

105319104 is a wasteful number, since it uses less digits than its factorization.

105319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 105319104 is about 10262.5096345874. The cubic root of 105319104 is about 472.2468305843.

The spelling of 105319104 in words is "one hundred five million, three hundred nineteen thousand, one hundred four".