106611967 has 16 divisors (see below), whose sum is σ = 134797824. Its totient is φ = 81900000.

The previous prime is 106611851. The next prime is 106611971. The reversal of 106611967 is 769116601.

It is not a de Polignac number, because 106611967 - 2¹⁵ = 106579199 is a prime.

It is a super-2 number, since 2×106611967² = 22732223015218178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106611067) 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, 4284 + ... + 15217.

It is an arithmetic number, because the mean of its divisors is an integer number (8424864).

Almost surely, 2^106611967 is an apocalyptic number.

106611967 is a deficient number, since it is larger than the sum of its proper divisors (28185857).

106611967 is a wasteful number, since it uses less digits than its factorization.

106611967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19590.

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 106611967 is about 10325.3071140766. The cubic root of 106611967 is about 474.1713597049.

The spelling of 106611967 in words is "one hundred six million, six hundred eleven thousand, nine hundred sixty-seven".