106314133533264 has 80 divisors (see below), whose sum is σ = 305760469809600. Its totient is φ = 35368421560704.

The previous prime is 106314133533259. The next prime is 106314133533281. The reversal of 106314133533264 is 462335331413601.

106314133533264 is a `hidden beast` number, since 1 + 0 + 6 + 31 + 4 + 1 + 3 + 353 + 3 + 264 = 666.

It is a super-2 number, since 2×106314133533264² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241526214 + ... + 241965989.

It is an arithmetic number, because the mean of its divisors is an integer number (3822005872620).

Almost surely, 2^{106314133533264} is an apocalyptic number.

It is an amenable number.

106314133533264 is an abundant number, since it is smaller than the sum of its proper divisors (199446336276336).

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

106314133533264 is a wasteful number, since it uses less digits than its factorization.

106314133533264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483492729 (or 483492717 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

Adding to 106314133533264 its reverse (462335331413601), we get a palindrome (568649464946865).

The spelling of 106314133533264 in words is "one hundred six trillion, three hundred fourteen billion, one hundred thirty-three million, five hundred thirty-three thousand, two hundred sixty-four".