106929828313344 has 243 divisors, whose sum is σ = 310076841407697. Its totient is φ = 35439605913600.

The previous prime is 106929828313339. The next prime is 106929828313387. The reversal of 106929828313344 is 443313828929601.

The square root of 106929828313344 is 10340688.

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

106929828313344 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 9 + 8 + 283 + 1 + 3 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62247555442944 + 44682272870400 = 7889712^2 + 6684480^2 .

It is a super-2 number, since 2×106929828313344² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104730487554 + ... + 104730488574.

Almost surely, 2^{106929828313344} is an apocalyptic number.

106929828313344 is the 10340688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106929828313344

106929828313344 is an abundant number, since it is smaller than the sum of its proper divisors (203147013094353).

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

106929828313344 is an frugal number, since it uses more digits than its factorization.

106929828313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 106929828313344 in words is "one hundred six trillion, nine hundred twenty-nine billion, eight hundred twenty-eight million, three hundred thirteen thousand, three hundred forty-four".