109905280601 has 2 divisors, whose sum is σ = 109905280602. Its totient is φ = 109905280600.

The previous prime is 109905280591. The next prime is 109905280657. The reversal of 109905280601 is 106082509901.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90998755600 + 18906525001 = 301660^2 + 137501^2 .

It is a cyclic number.

It is not a de Polignac number, because 109905280601 - 2¹⁰ = 109905279577 is a prime.

It is not a weakly prime, because it can be changed into another prime (109905280501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54952640300 + 54952640301.

It is an arithmetic number, because the mean of its divisors is an integer number (54952640301).

Almost surely, 2^109905280601 is an apocalyptic number.

It is an amenable number.

109905280601 is a deficient number, since it is larger than the sum of its proper divisors (1).

109905280601 is an equidigital number, since it uses as much as digits as its factorization.

109905280601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 109905280601 in words is "one hundred nine billion, nine hundred five million, two hundred eighty thousand, six hundred one".