105403842 has 40 divisors (see below), whose sum is σ = 250082316. Its totient is φ = 33067008.

The previous prime is 105403819. The next prime is 105403843. The reversal of 105403842 is 248304501.

It can be written as a sum of positive squares in 2 ways, for example, as 91183401 + 14220441 = 9549^2 + 3771^2 .

It is a super-2 number, since 2×105403842² = 22219939816721928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105403843) 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 19 ways as a sum of consecutive naturals, for example, 16383 + ... + 21890.

Almost surely, 2^105403842 is an apocalyptic number.

105403842 is an abundant number, since it is smaller than the sum of its proper divisors (144678474).

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

105403842 is a wasteful number, since it uses less digits than its factorization.

105403842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38304 (or 38295 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105403842 is about 10266.6373267979. The cubic root of 105403842 is about 472.3734506143.

The spelling of 105403842 in words is "one hundred five million, four hundred three thousand, eight hundred forty-two".