105201424133 has 8 divisors (see below), whose sum is σ = 113296407000. Its totient is φ = 97106807808.

The previous prime is 105201424117. The next prime is 105201424147. The reversal of 105201424133 is 331424102501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2309955844 + 102891468289 = 48062^2 + 320767^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105201424133 - 2⁴ = 105201424117 is a prime.

It is a super-2 number, since 2×105201424133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201424183) 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, 910193 + ... + 1019241.

It is an arithmetic number, because the mean of its divisors is an integer number (14162050875).

Almost surely, 2^105201424133 is an apocalyptic number.

105201424133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105201424133 is a deficient number, since it is larger than the sum of its proper divisors (8094982867).

105201424133 is a wasteful number, since it uses less digits than its factorization.

105201424133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183271.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 105201424133 its reverse (331424102501), we get a palindrome (436625526634).

The spelling of 105201424133 in words is "one hundred five billion, two hundred one million, four hundred twenty-four thousand, one hundred thirty-three".