105113526 has 48 divisors (see below), whose sum is σ = 249785856. Its totient is φ = 29389584.

The previous prime is 105113509. The next prime is 105113527. The reversal of 105113526 is 625311501.

It is a super-2 number, since 2×105113526² = 22097706696305352, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105113496 and 105113505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10015 + ... + 17621.

It is an arithmetic number, because the mean of its divisors is an integer number (5203872).

Almost surely, 2^105113526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105113526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124892928).

105113526 is an abundant number, since it is smaller than the sum of its proper divisors (144672330).

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

105113526 is a wasteful number, since it uses less digits than its factorization.

105113526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105113526 is about 10252.4887710253. The cubic root of 105113526 is about 471.9393624822.

The spelling of 105113526 in words is "one hundred five million, one hundred thirteen thousand, five hundred twenty-six".