105135003 has 10 divisors (see below), whose sum is σ = 157053644. Its totient is φ = 70089948.

The previous prime is 105134989. The next prime is 105135011. The reversal of 105135003 is 300531501.

It is a happy number.

It is not a de Polignac number, because 105135003 - 2⁵ = 105134971 is a prime.

It is a super-2 number, since 2×105135003² = 22106737711620018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105135053) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 648901 + ... + 649062.

Almost surely, 2^105135003 is an apocalyptic number.

105135003 is a deficient number, since it is larger than the sum of its proper divisors (51918641).

105135003 is an equidigital number, since it uses as much as digits as its factorization.

105135003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297975 (or 1297966 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105135003 is about 10253.5361217484. The cubic root of 105135003 is about 471.9715028160.

Adding to 105135003 its reverse (300531501), we get a palindrome (405666504).

The spelling of 105135003 in words is "one hundred five million, one hundred thirty-five thousand, three".