105138096 has 160 divisors (see below), whose sum is σ = 335216640. Its totient is φ = 27724032.

The previous prime is 105138091. The next prime is 105138109. The reversal of 105138096 is 690831501.

It is a super-2 number, since 2×105138096² = 22108038461010432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105138091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274321 + ... + 274703.

It is an arithmetic number, because the mean of its divisors is an integer number (2095104).

Almost surely, 2^105138096 is an apocalyptic number.

105138096 is a gapful number since it is divisible by the number (16) 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 105138096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167608320).

105138096 is an abundant number, since it is smaller than the sum of its proper divisors (230078544).

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

105138096 is a wasteful number, since it uses less digits than its factorization.

105138096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 105138096 is about 10253.6869466548. The cubic root of 105138096 is about 471.9761311304.

Adding to 105138096 its reverse (690831501), we get a palindrome (795969597).

The spelling of 105138096 in words is "one hundred five million, one hundred thirty-eight thousand, ninety-six".