110605601629 has 2 divisors, whose sum is σ = 110605601630. Its totient is φ = 110605601628.

The previous prime is 110605601609. The next prime is 110605601633. The reversal of 110605601629 is 926106506011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97280362404 + 13325239225 = 311898^2 + 115435^2 .

It is an emirp because it is prime and its reverse (926106506011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110605601629 - 2⁵ = 110605601597 is a prime.

It is a super-2 number, since 2×110605601629² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110605601609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55302800814 + 55302800815.

It is an arithmetic number, because the mean of its divisors is an integer number (55302800815).

Almost surely, 2^110605601629 is an apocalyptic number.

It is an amenable number.

110605601629 is a deficient number, since it is larger than the sum of its proper divisors (1).

110605601629 is an equidigital number, since it uses as much as digits as its factorization.

110605601629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 110605601629 in words is "one hundred ten billion, six hundred five million, six hundred one thousand, six hundred twenty-nine".