105032435123133 has 12 divisors (see below), whose sum is σ = 173386877028768. Its totient is φ = 60018534356040.

The previous prime is 105032435123117. The next prime is 105032435123167. The reversal of 105032435123133 is 331321534230501.

105032435123133 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 2 + 4 + 3 + 512 + 3 + 133 = 666.

It is not a de Polignac number, because 105032435123133 - 2⁴ = 105032435123117 is a prime.

It is a super-2 number, since 2×105032435123133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032435125133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833590754883 + ... + 833590755008.

It is an arithmetic number, because the mean of its divisors is an integer number (14448906419064).

Almost surely, 2^{105032435123133} is an apocalyptic number.

It is an amenable number.

105032435123133 is a deficient number, since it is larger than the sum of its proper divisors (68354441905635).

105032435123133 is a wasteful number, since it uses less digits than its factorization.

105032435123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667181509904 (or 1667181509901 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 105032435123133 its reverse (331321534230501), we get a palindrome (436353969353634).

The spelling of 105032435123133 in words is "one hundred five trillion, thirty-two billion, four hundred thirty-five million, one hundred twenty-three thousand, one hundred thirty-three".