105053826 has 24 divisors (see below), whose sum is σ = 211725360. Its totient is φ = 34750296.

The previous prime is 105053821. The next prime is 105053827. The reversal of 105053826 is 628350501.

It is a super-2 number, since 2×105053826² = 22072612714476552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105053793 and 105053802.

It is not an unprimeable number, because it can be changed into a prime (105053821) 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 11 ways as a sum of consecutive naturals, for example, 159085 + ... + 159743.

It is an arithmetic number, because the mean of its divisors is an integer number (8821890).

Almost surely, 2^105053826 is an apocalyptic number.

105053826 is an abundant number, since it is smaller than the sum of its proper divisors (106671534).

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

105053826 is an equidigital number, since it uses as much as digits as its factorization.

105053826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105053826 is about 10249.5768693151. The cubic root of 105053826 is about 471.8499984181.

The spelling of 105053826 in words is "one hundred five million, fifty-three thousand, eight hundred twenty-six".