106956567 has 12 divisors (see below), whose sum is σ = 162624280. Its totient is φ = 67551408.

The previous prime is 106956517. The next prime is 106956569. The reversal of 106956567 is 765659601.

It is not a de Polignac number, because 106956567 - 2¹² = 106952471 is a prime.

It is a super-2 number, since 2×106956567² = 22879414448850978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106956569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312568 + ... + 312909.

Almost surely, 2^106956567 is an apocalyptic number.

106956567 is a deficient number, since it is larger than the sum of its proper divisors (55667713).

106956567 is a wasteful number, since it uses less digits than its factorization.

106956567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625502 (or 625499 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 106956567 is about 10341.9808064026. The cubic root of 106956567 is about 474.6816955191.

The spelling of 106956567 in words is "one hundred six million, nine hundred fifty-six thousand, five hundred sixty-seven".