105260133 has 16 divisors (see below), whose sum is σ = 161164800. Its totient is φ = 60436080.

The previous prime is 105260123. The next prime is 105260143. The reversal of 105260133 is 331062501.

It is an interprime number because it is at equal distance from previous prime (105260123) and next prime (105260143).

It is not a de Polignac number, because 105260133 - 2⁴ = 105260117 is a prime.

It is a super-2 number, since 2×105260133² = 22159391198355378, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105260123) 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 15 ways as a sum of consecutive naturals, for example, 83313 + ... + 84566.

It is an arithmetic number, because the mean of its divisors is an integer number (10072800).

Almost surely, 2^105260133 is an apocalyptic number.

It is an amenable number.

105260133 is a deficient number, since it is larger than the sum of its proper divisors (55904667).

105260133 is a wasteful number, since it uses less digits than its factorization.

105260133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167912.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105260133 is about 10259.6361046579. The cubic root of 105260133 is about 472.1586728928.

The spelling of 105260133 in words is "one hundred five million, two hundred sixty thousand, one hundred thirty-three".