106118926081 has 27 divisors (see below), whose sum is σ = 124625426601. Its totient is φ = 90097121184.

The previous prime is 106118926051. The next prime is 106118926097. The reversal of 106118926081 is 180629811601.

The square root of 106118926081 is 325759.

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 223353025 + 105895573056 = 14945^2 + 325416^2 .

It is not a de Polignac number, because 106118926081 - 2¹⁵ = 106118893313 is a prime.

It is a super-2 number, since 2×106118926081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106118926051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 394494015 + ... + 394494283.

Almost surely, 2^106118926081 is an apocalyptic number.

106118926081 is the 325759-th square number.

106118926081 is the 162880-th centered octagonal number.

It is an amenable number.

106118926081 is a deficient number, since it is larger than the sum of its proper divisors (18506500520).

106118926081 is an frugal number, since it uses more digits than its factorization.

106118926081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The spelling of 106118926081 in words is "one hundred six billion, one hundred eighteen million, nine hundred twenty-six thousand, eighty-one".