105825104 has 80 divisors (see below), whose sum is σ = 260995200. Its totient is φ = 41207040.

The previous prime is 105825101. The next prime is 105825113. The reversal of 105825104 is 401528501.

It is a super-2 number, since 2×105825104² = 22397905273221632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105825101) 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, 59492 + ... + 61244.

It is an arithmetic number, because the mean of its divisors is an integer number (3262440).

Almost surely, 2^105825104 is an apocalyptic number.

105825104 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 105825104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130497600).

105825104 is an abundant number, since it is smaller than the sum of its proper divisors (155170096).

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

105825104 is a wasteful number, since it uses less digits than its factorization.

105825104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 105825104 is about 10287.1329339131. The cubic root of 105825104 is about 473.0019174906.

It can be divided in two parts, 1058 and 25104, that added together give a palindrome (26162).

The spelling of 105825104 in words is "one hundred five million, eight hundred twenty-five thousand, one hundred four".