105032153022233 has 6 divisors (see below), whose sum is σ = 108778841002494. Its totient is φ = 101410354641344.

The previous prime is 105032153022221. The next prime is 105032153022271. The reversal of 105032153022233 is 332220351230501.

It can be written as a sum of positive squares in 3 ways, for example, as 3456635795209 + 101575517227024 = 1859203^2 + 10078468^2 .

It is not a de Polignac number, because 105032153022233 - 2¹⁶ = 105032152956697 is a prime.

It is a super-2 number, since 2×105032153022233² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105032153022233.

It is not an unprimeable number, because it can be changed into a prime (105032153012233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62444798816 + ... + 62444800497.

It is an arithmetic number, because the mean of its divisors is an integer number (18129806833749).

Almost surely, 2^{105032153022233} is an apocalyptic number.

It is an amenable number.

105032153022233 is a deficient number, since it is larger than the sum of its proper divisors (3746687980261).

105032153022233 is an equidigital number, since it uses as much as digits as its factorization.

105032153022233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124889599371 (or 124889599342 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 105032153022233 in words is "one hundred five trillion, thirty-two billion, one hundred fifty-three million, twenty-two thousand, two hundred thirty-three".