105105603 has 8 divisors (see below), whose sum is σ = 140334928. Its totient is φ = 69973344.

The previous prime is 105105589. The next prime is 105105613. The reversal of 105105603 is 306501501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105105603 - 2⁵ = 105105571 is a prime.

It is a super-2 number, since 2×105105603² = 22094375563987218, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105105603.

It is not an unprimeable number, because it can be changed into a prime (105105613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21700 + ... + 26097.

It is an arithmetic number, because the mean of its divisors is an integer number (17541866).

Almost surely, 2^105105603 is an apocalyptic number.

105105603 is a deficient number, since it is larger than the sum of its proper divisors (35229325).

105105603 is an equidigital number, since it uses as much as digits as its factorization.

105105603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48533.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105105603 is about 10252.1023697581. The cubic root of 105105603 is about 471.9275046061.

The spelling of 105105603 in words is "one hundred five million, one hundred five thousand, six hundred three".