106066560567 has 16 divisors (see below), whose sum is σ = 154835609472. Its totient is φ = 64050690720.

The previous prime is 106066560553. The next prime is 106066560571. The reversal of 106066560567 is 765065660601.

It is a happy number.

It is not a de Polignac number, because 106066560567 - 2¹⁸ = 106066298423 is a prime.

It is a super-2 number, since 2×106066560567² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106066560967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5792553 + ... + 5810834.

It is an arithmetic number, because the mean of its divisors is an integer number (9677225592).

Almost surely, 2^106066560567 is an apocalyptic number.

106066560567 is a deficient number, since it is larger than the sum of its proper divisors (48769048905).

106066560567 is a wasteful number, since it uses less digits than its factorization.

106066560567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11603678.

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 106066560567 in words is "one hundred six billion, sixty-six million, five hundred sixty thousand, five hundred sixty-seven".