106773567 has 16 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 67318592.

The previous prime is 106773509. The next prime is 106773571. The reversal of 106773567 is 765377601.

It is a cyclic number.

It is not a de Polignac number, because 106773567 - 2¹¹ = 106771519 is a prime.

It is a super-2 number, since 2×106773567² = 22801189219806978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106773577) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2553 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (9389520).

Almost surely, 2^106773567 is an apocalyptic number.

106773567 is a deficient number, since it is larger than the sum of its proper divisors (43458753).

106773567 is a wasteful number, since it uses less digits than its factorization.

106773567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502.

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 106773567 is about 10333.1295840128. The cubic root of 106773567 is about 474.4108181522.

The spelling of 106773567 in words is "one hundred six million, seven hundred seventy-three thousand, five hundred sixty-seven".