109872669536145 has 48 divisors (see below), whose sum is σ = 197020836277200. Its totient is φ = 56598838843392.

The previous prime is 109872669536099. The next prime is 109872669536173. The reversal of 109872669536145 is 541635966278901.

It is a happy number.

109872669536145 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 7 + 26 + 69 + 536 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8510703470721 + 101361966065424 = 2917311^2 + 10067868^2 .

It is not a de Polignac number, because 109872669536145 - 2¹⁰ = 109872669535121 is a prime.

It is a super-2 number, since 2×109872669536145² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240609820 + ... + 241066029.

It is an arithmetic number, because the mean of its divisors is an integer number (4104600755775).

It is a 1-persistent number, because it is pandigital, but 2⋅109872669536145 = 219745339072290 is not.

Almost surely, 2^{109872669536145} is an apocalyptic number.

109872669536145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109872669536145 is a deficient number, since it is larger than the sum of its proper divisors (87148166741055).

109872669536145 is a wasteful number, since it uses less digits than its factorization.

109872669536145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481676034 (or 481676031 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 109872669536145 in words is "one hundred nine trillion, eight hundred seventy-two billion, six hundred sixty-nine million, five hundred thirty-six thousand, one hundred forty-five".