105152401022189 has 2 divisors, whose sum is σ = 105152401022190. Its totient is φ = 105152401022188.

The previous prime is 105152401022117. The next prime is 105152401022269. The reversal of 105152401022189 is 981220104251501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103568113092964 + 1584287929225 = 10176842^2 + 1258685^2 .

It is a cyclic number.

It is not a de Polignac number, because 105152401022189 - 2¹⁶ = 105152400956653 is a prime.

It is a super-2 number, since 2×105152401022189² (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 (105152401022989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52576200511094 + 52576200511095.

It is an arithmetic number, because the mean of its divisors is an integer number (52576200511095).

Almost surely, 2^{105152401022189} is an apocalyptic number.

It is an amenable number.

105152401022189 is a deficient number, since it is larger than the sum of its proper divisors (1).

105152401022189 is an equidigital number, since it uses as much as digits as its factorization.

105152401022189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 105152401022189 in words is "one hundred five trillion, one hundred fifty-two billion, four hundred one million, twenty-two thousand, one hundred eighty-nine".