105355335033 has 24 divisors (see below), whose sum is σ = 173526437448. Its totient is φ = 61020283392.

The previous prime is 105355335017. The next prime is 105355335037. The reversal of 105355335033 is 330533553501.

105355335033 is a `hidden beast` number, since 1 + 0 + 53 + 553 + 3 + 50 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24260243049 + 81095091984 = 155757^2 + 284772^2 .

It is not a de Polignac number, because 105355335033 - 2⁴ = 105355335017 is a prime.

It is a super-2 number, since 2×105355335033² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105355335037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26482510 + ... + 26486487.

It is an arithmetic number, because the mean of its divisors is an integer number (7230268227).

Almost surely, 2^105355335033 is an apocalyptic number.

105355335033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105355335033 is a deficient number, since it is larger than the sum of its proper divisors (68171102415).

105355335033 is a wasteful number, since it uses less digits than its factorization.

105355335033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52969033 (or 52969030 counting only the distinct ones).

The product of its (nonzero) digits is 151875, while the sum is 36.

Adding to 105355335033 its reverse (330533553501), we get a palindrome (435888888534).

The spelling of 105355335033 in words is "one hundred five billion, three hundred fifty-five million, three hundred thirty-five thousand, thirty-three".