106253310232314 has 32 divisors (see below), whose sum is σ = 269849676781440. Its totient is φ = 30358088637696.

The previous prime is 106253310232313. The next prime is 106253310232327. The reversal of 106253310232314 is 413232013352601.

106253310232314 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 3 + 310 + 2 + 323 + 14 = 666.

It is a super-2 number, since 2×106253310232314² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106253310232313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 140546706279 + ... + 140546707034.

It is an arithmetic number, because the mean of its divisors is an integer number (8432802399420).

Almost surely, 2^{106253310232314} is an apocalyptic number.

106253310232314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106253310232314 is an abundant number, since it is smaller than the sum of its proper divisors (163596366549126).

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

106253310232314 is a wasteful number, since it uses less digits than its factorization.

106253310232314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281093413331 (or 281093413325 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 106253310232314 its reverse (413232013352601), we get a palindrome (519485323584915).

The spelling of 106253310232314 in words is "one hundred six trillion, two hundred fifty-three billion, three hundred ten million, two hundred thirty-two thousand, three hundred fourteen".