109090107833641 has 27 divisors (see below), whose sum is σ = 121583398765143. Its totient is φ = 97806773322720.

The previous prime is 109090107833621. The next prime is 109090107833647. The reversal of 109090107833641 is 146338701090901.

The square root of 109090107833641 is 10444621.

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

It can be written as a sum of positive squares in only one way, i.e., 61924859485225 + 47165248348416 = 7869235^2 + 6867696^2 .

It is not a de Polignac number, because 109090107833641 - 2⁷ = 109090107833513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109090107833647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8387024160 + ... + 8387037166.

Almost surely, 2^{109090107833641} is an apocalyptic number.

109090107833641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

109090107833641 is the 10444621-st square number.

109090107833641 is the 5222311-st centered octagonal number.

It is an amenable number.

109090107833641 is a deficient number, since it is larger than the sum of its proper divisors (12493290931502).

109090107833641 is an frugal number, since it uses more digits than its factorization.

109090107833641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26182 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 109090107833641 in words is "one hundred nine trillion, ninety billion, one hundred seven million, eight hundred thirty-three thousand, six hundred forty-one".