106811617205725 has 24 divisors (see below), whose sum is σ = 133176499283520. Its totient is φ = 84979372437120.

The previous prime is 106811617205719. The next prime is 106811617205743. The reversal of 106811617205725 is 527502716118601.

It is not a de Polignac number, because 106811617205725 - 2³ = 106811617205717 is a prime.

It is a super-2 number, since 2×106811617205725² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9977880 + ... + 17696929.

It is an arithmetic number, because the mean of its divisors is an integer number (5549020803480).

Almost surely, 2^{106811617205725} is an apocalyptic number.

It is an amenable number.

106811617205725 is a deficient number, since it is larger than the sum of its proper divisors (26364882077795).

106811617205725 is a wasteful number, since it uses less digits than its factorization.

106811617205725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27675669 (or 27675664 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 52.

The spelling of 106811617205725 in words is "one hundred six trillion, eight hundred eleven billion, six hundred seventeen million, two hundred five thousand, seven hundred twenty-five".