106505867 has 16 divisors (see below), whose sum is σ = 121800672. Its totient is φ = 92259840.

The previous prime is 106505827. The next prime is 106505879. The reversal of 106505867 is 768505601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106505867 - 2¹⁰ = 106504843 is a prime.

It is a super-2 number, since 2×106505867² = 22686999410843378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106505867.

It is not an unprimeable number, because it can be changed into a prime (106505827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129317 + ... + 130137.

It is an arithmetic number, because the mean of its divisors is an integer number (7612542).

Almost surely, 2^106505867 is an apocalyptic number.

106505867 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106505867 is a deficient number, since it is larger than the sum of its proper divisors (15294805).

106505867 is a wasteful number, since it uses less digits than its factorization.

106505867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438.

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 106505867 is about 10320.1679734392. The cubic root of 106505867 is about 474.0140093897.

The spelling of 106505867 in words is "one hundred six million, five hundred five thousand, eight hundred sixty-seven".