105013104 has 80 divisors (see below), whose sum is σ = 318455808. Its totient is φ = 29189376.

The previous prime is 105013091. The next prime is 105013109. The reversal of 105013104 is 401310501.

It is a super-2 number, since 2×105013104² = 22055504023429632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8209 + ... + 16655.

Almost surely, 2^105013104 is an apocalyptic number.

105013104 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 105013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159227904).

105013104 is an abundant number, since it is smaller than the sum of its proper divisors (213442704).

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

105013104 is a wasteful number, since it uses less digits than its factorization.

105013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105013104 is about 10247.5901557391. The cubic root of 105013104 is about 471.7890228222.

Adding to 105013104 its reverse (401310501), we get a palindrome (506323605).

The spelling of 105013104 in words is "one hundred five million, thirteen thousand, one hundred four".