105131826 has 48 divisors (see below), whose sum is σ = 243116640. Its totient is φ = 32736960.

The previous prime is 105131821. The next prime is 105131849. The reversal of 105131826 is 628131501.

It is a super-2 number, since 2×105131826² = 22105401676188552, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105131826.

It is not an unprimeable number, because it can be changed into a prime (105131821) 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, 22861 + ... + 27071.

It is an arithmetic number, because the mean of its divisors is an integer number (5064930).

Almost surely, 2^105131826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105131826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121558320).

105131826 is an abundant number, since it is smaller than the sum of its proper divisors (137984814).

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

105131826 is a wasteful number, since it uses less digits than its factorization.

105131826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105131826 is about 10253.3811984145. The cubic root of 105131826 is about 471.9667487109.

The spelling of 105131826 in words is "one hundred five million, one hundred thirty-one thousand, eight hundred twenty-six".