109106401 has 2 divisors, whose sum is σ = 109106402. Its totient is φ = 109106400.

The previous prime is 109106353. The next prime is 109106423. The reversal of 109106401 is 104601901.

It is an a-pointer prime, because the next prime (109106423) can be obtained adding 109106401 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81270225 + 27836176 = 9015^2 + 5276^2 .

It is a cyclic number.

It is not a de Polignac number, because 109106401 - 2¹⁵ = 109073633 is a prime.

It is not a weakly prime, because it can be changed into another prime (109106471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54553200 + 54553201.

It is an arithmetic number, because the mean of its divisors is an integer number (54553201).

Almost surely, 2^109106401 is an apocalyptic number.

It is an amenable number.

109106401 is a deficient number, since it is larger than the sum of its proper divisors (1).

109106401 is an equidigital number, since it uses as much as digits as its factorization.

109106401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 109106401 is about 10445.4009497003. The cubic root of 109106401 is about 477.8409994439.

The spelling of 109106401 in words is "one hundred nine million, one hundred six thousand, four hundred one".