106306827264 has 528 divisors, whose sum is σ = 353155645440. Its totient is φ = 30485790720.

The previous prime is 106306827223. The next prime is 106306827301. The reversal of 106306827264 is 462728603601.

106306827264 is a `hidden beast` number, since 1 + 0 + 6 + 306 + 82 + 7 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×106306827264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296119117 + ... + 296119475.

Almost surely, 2^106306827264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106306827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176577822720).

106306827264 is an abundant number, since it is smaller than the sum of its proper divisors (246848818176).

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

106306827264 is a wasteful number, since it uses less digits than its factorization.

106306827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 106306827264 in words is "one hundred six billion, three hundred six million, eight hundred twenty-seven thousand, two hundred sixty-four".