106316968464144 has 225 divisors, whose sum is σ = 316294327521711. Its totient is φ = 34476724604160.

The previous prime is 106316968464139. The next prime is 106316968464167. The reversal of 106316968464144 is 441464869613601.

It is a happy number.

The square root of 106316968464144 is 10311012.

It is a perfect power (a square), and thus also a powerful number.

106316968464144 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 169 + 6 + 8 + 464 + 1 + 4 + 4 = 666.

106316968464144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2075155491600 + 104241812972544 = 1440540^2 + 10209888^2 .

It is a super-2 number, since 2×106316968464144² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13734264114 + ... + 13734271854.

Almost surely, 2^{106316968464144} is an apocalyptic number.

106316968464144 is the 10311012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106316968464144

106316968464144 is an abundant number, since it is smaller than the sum of its proper divisors (209977359057567).

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

106316968464144 is an frugal number, since it uses more digits than its factorization.

106316968464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15576 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 106316968464144 in words is "one hundred six trillion, three hundred sixteen billion, nine hundred sixty-eight million, four hundred sixty-four thousand, one hundred forty-four".