106020569664 has 63 divisors (see below), whose sum is σ = 303911221107. Its totient is φ = 35337585024.

The previous prime is 106020569659. The next prime is 106020569713. The reversal of 106020569664 is 466965020601.

The square root of 106020569664 is 325608.

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

106020569664 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 20 + 569 + 6 + 64 = 666.

106020569664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106020569664² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7807809 + ... + 7821375.

Almost surely, 2^106020569664 is an apocalyptic number.

106020569664 is the 325608-th square number.

It is an amenable number.

106020569664 is an abundant number, since it is smaller than the sum of its proper divisors (197890651443).

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

106020569664 is an frugal number, since it uses more digits than its factorization.

106020569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27152 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

It can be divided in two parts, 106020 and 569664, that added together give a square (675684 = 822²).

The spelling of 106020569664 in words is "one hundred six billion, twenty million, five hundred sixty-nine thousand, six hundred sixty-four".