109537135068001 has 27 divisors (see below), whose sum is σ = 117866191457721. Its totient is φ = 101775728131584.

The previous prime is 109537135067989. The next prime is 109537135068043. The reversal of 109537135068001 is 100860531735901.

It is a happy number.

The square root of 109537135068001 is 10465999.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69554782682401 + 39982352385600 = 8339951^2 + 6323160^2 .

It is not a de Polignac number, because 109537135068001 - 2⁷ = 109537135067873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109537135062001) 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, 14055832761 + ... + 14055840553.

Almost surely, 2^{109537135068001} is an apocalyptic number.

109537135068001 is the 10465999-th square number.

109537135068001 is the 5233000-th centered octagonal number.

It is an amenable number.

109537135068001 is a deficient number, since it is larger than the sum of its proper divisors (8329056389720).

109537135068001 is an frugal number, since it uses more digits than its factorization.

109537135068001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15778 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The spelling of 109537135068001 in words is "one hundred nine trillion, five hundred thirty-seven billion, one hundred thirty-five million, sixty-eight thousand, one".