105555591829 has 2 divisors, whose sum is σ = 105555591830. Its totient is φ = 105555591828.

The previous prime is 105555591787. The next prime is 105555591847. The reversal of 105555591829 is 928195555501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83825883729 + 21729708100 = 289527^2 + 147410^2 .

It is a cyclic number.

It is not a de Polignac number, because 105555591829 - 2¹¹ = 105555589781 is a prime.

It is a super-2 number, since 2×105555591829² (a number of 23 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 105555591829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105555591929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52777795914 + 52777795915.

It is an arithmetic number, because the mean of its divisors is an integer number (52777795915).

Almost surely, 2^105555591829 is an apocalyptic number.

It is an amenable number.

105555591829 is a deficient number, since it is larger than the sum of its proper divisors (1).

105555591829 is an equidigital number, since it uses as much as digits as its factorization.

105555591829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050000, while the sum is 55.

The spelling of 105555591829 in words is "one hundred five billion, five hundred fifty-five million, five hundred ninety-one thousand, eight hundred twenty-nine".