105657426 has 96 divisors (see below), whose sum is σ = 277375680. Its totient is φ = 29719872.

The previous prime is 105657421. The next prime is 105657481. The reversal of 105657426 is 624756501.

It is a happy number.

105657426 is a `hidden beast` number, since 1 + 0 + 565 + 74 + 26 = 666.

It is a super-2 number, since 2×105657426² = 22326983337890952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105657421) 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 47 ways as a sum of consecutive naturals, for example, 192885 + ... + 193431.

It is an arithmetic number, because the mean of its divisors is an integer number (2889330).

Almost surely, 2^105657426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105657426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138687840).

105657426 is an abundant number, since it is smaller than the sum of its proper divisors (171718254).

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

105657426 is a wasteful number, since it uses less digits than its factorization.

105657426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 105657426 is about 10278.9798131916. The cubic root of 105657426 is about 472.7519643795.

The spelling of 105657426 in words is "one hundred five million, six hundred fifty-seven thousand, four hundred twenty-six".