109408441102801 has 3 divisors (see below), whose sum is σ = 109408451562651. Its totient is φ = 109408430642952.

The previous prime is 109408441102799. The next prime is 109408441102813. The reversal of 109408441102801 is 108201144804901.

The square root of 109408441102801 is 10459849.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 45338662093201 + 64069779009600 = 6733399^2 + 8004360^2 .

It is not a de Polignac number, because 109408441102801 - 2¹ = 109408441102799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109408411102801) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5229925 + ... + 15689773.

It is an arithmetic number, because the mean of its divisors is an integer number (36469483854217).

Almost surely, 2^{109408441102801} is an apocalyptic number.

109408441102801 is the 10459849-th square number.

109408441102801 is the 5229925-th centered octagonal number.

It is an amenable number.

109408441102801 is a deficient number, since it is larger than the sum of its proper divisors (10459850).

109408441102801 is an frugal number, since it uses more digits than its factorization.

109408441102801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20919698 (or 10459849 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 109408441102801 in words is "one hundred nine trillion, four hundred eight billion, four hundred forty-one million, one hundred two thousand, eight hundred one".