106254016313 has 8 divisors (see below), whose sum is σ = 109956777480. Its totient is φ = 102553843840.

The previous prime is 106254016283. The next prime is 106254016321. The reversal of 106254016313 is 313610452601.

It can be written as a sum of positive squares in 4 ways, for example, as 595213609 + 105658802704 = 24397^2 + 325052^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106254016313 - 2⁶ = 106254016249 is a prime.

It is a super-2 number, since 2×106254016313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106254016313.

It is not an unprimeable number, because it can be changed into a prime (106254016013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563468 + ... + 728013.

It is an arithmetic number, because the mean of its divisors is an integer number (13744597185).

Almost surely, 2^106254016313 is an apocalyptic number.

It is an amenable number.

106254016313 is a deficient number, since it is larger than the sum of its proper divisors (3702761167).

106254016313 is a wasteful number, since it uses less digits than its factorization.

106254016313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294347.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 106254016313 its reverse (313610452601), we get a palindrome (419864468914).

The spelling of 106254016313 in words is "one hundred six billion, two hundred fifty-four million, sixteen thousand, three hundred thirteen".