109638930081321 has 45 divisors (see below), whose sum is σ = 173985084695829. Its totient is φ = 68792048966016.

The previous prime is 109638930081313. The next prime is 109638930081353. The reversal of 109638930081321 is 123180039836901.

The square root of 109638930081321 is 10470861.

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

109638930081321 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 3 + 8 + 9 + 300 + 8 + 1 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15583458912921 + 94055471168400 = 3947589^2 + 9698220^2 .

It is not a de Polignac number, because 109638930081321 - 2³ = 109638930081313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109638930011321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1602007515 + ... + 1602075951.

Almost surely, 2^{109638930081321} is an apocalyptic number.

109638930081321 is the 10470861-st square number.

109638930081321 is the 5235431-st centered octagonal number.

It is an amenable number.

109638930081321 is a deficient number, since it is larger than the sum of its proper divisors (64346154614508).

109638930081321 is an frugal number, since it uses more digits than its factorization.

109638930081321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136920 (or 68457 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 109638930081321 in words is "one hundred nine trillion, six hundred thirty-eight billion, nine hundred thirty million, eighty-one thousand, three hundred twenty-one".