105032153040349 has 2 divisors, whose sum is σ = 105032153040350. Its totient is φ = 105032153040348.

The previous prime is 105032153040233. The next prime is 105032153040361. The reversal of 105032153040349 is 943040351230501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63563833672249 + 41468319368100 = 7972693^2 + 6439590^2 .

It is a cyclic number.

It is not a de Polignac number, because 105032153040349 - 2¹⁵ = 105032153007581 is a prime.

It is a super-2 number, since 2×105032153040349² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105032153070349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516076520174 + 52516076520175.

It is an arithmetic number, because the mean of its divisors is an integer number (52516076520175).

Almost surely, 2^{105032153040349} is an apocalyptic number.

It is an amenable number.

105032153040349 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032153040349 is an equidigital number, since it uses as much as digits as its factorization.

105032153040349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 105032153040349 in words is "one hundred five trillion, thirty-two billion, one hundred fifty-three million, forty thousand, three hundred forty-nine".