106117623049 has 27 divisors (see below), whose sum is σ = 112762949767. Its totient is φ = 99858853808.

The previous prime is 106117623041. The next prime is 106117623113. The reversal of 106117623049 is 940326711601.

The square root of 106117623049 is 325757.

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

It can be written as a sum of positive squares in only one way, i.e., 55645507449 + 50472115600 = 235893^2 + 224660^2 .

It is not a de Polignac number, because 106117623049 - 2³ = 106117623041 is a prime.

It is a super-2 number, since 2×106117623049² (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 (106117623041) 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, 444006672 + ... + 444006910.

Almost surely, 2^106117623049 is an apocalyptic number.

106117623049 is the 325757-th square number.

106117623049 is the 162879-th centered octagonal number.

It is an amenable number.

106117623049 is a deficient number, since it is larger than the sum of its proper divisors (6645326718).

106117623049 is an frugal number, since it uses more digits than its factorization.

106117623049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 106117623049 in words is "one hundred six billion, one hundred seventeen million, six hundred twenty-three thousand, forty-nine".