105032153040233 has 2 divisors, whose sum is σ = 105032153040234. Its totient is φ = 105032153040232.

The previous prime is 105032153040187. The next prime is 105032153040349. The reversal of 105032153040233 is 332040351230501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78751478885209 + 26280674155024 = 8874203^2 + 5126468^2 .

It is an emirp because it is prime and its reverse (332040351230501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105032153040233 is a prime.

It is a super-2 number, since 2×105032153040233² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105032153040233.

It is not a weakly prime, because it can be changed into another prime (105032153040433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516076520116 + 52516076520117.

It is an arithmetic number, because the mean of its divisors is an integer number (52516076520117).

Almost surely, 2^{105032153040233} is an apocalyptic number.

It is an amenable number.

105032153040233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032153040233 is an equidigital number, since it uses as much as digits as its factorization.

105032153040233 is an evil number, because the sum of its binary digits is even.

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

The spelling of 105032153040233 in words is "one hundred five trillion, thirty-two billion, one hundred fifty-three million, forty thousand, two hundred thirty-three".