106241266314 has 48 divisors (see below), whose sum is σ = 233712655488. Its totient is φ = 34872114816.

The previous prime is 106241266309. The next prime is 106241266319. The reversal of 106241266314 is 413662142601.

106241266314 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 12 + 6 + 631 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106241266309) and next prime (106241266319).

It is a super-2 number, since 2×106241266314² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106241266319) 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 23 ways as a sum of consecutive naturals, for example, 3514914 + ... + 3545010.

It is an arithmetic number, because the mean of its divisors is an integer number (4869013656).

Almost surely, 2^106241266314 is an apocalyptic number.

106241266314 is an abundant number, since it is smaller than the sum of its proper divisors (127471389174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106241266314 is a wasteful number, since it uses less digits than its factorization.

106241266314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33099 (or 33096 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106241266314 in words is "one hundred six billion, two hundred forty-one million, two hundred sixty-six thousand, three hundred fourteen".