106567321 has 16 divisors (see below), whose sum is σ = 123475968. Its totient is φ = 90090000.

The previous prime is 106567313. The next prime is 106567343. The reversal of 106567321 is 123765601.

It is not a de Polignac number, because 106567321 - 2³ = 106567313 is a prime.

It is a super-2 number, since 2×106567321² = 22713187810234082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106567301) 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, 229936 + ... + 230398.

It is an arithmetic number, because the mean of its divisors is an integer number (7717248).

Almost surely, 2^106567321 is an apocalyptic number.

It is an amenable number.

106567321 is a deficient number, since it is larger than the sum of its proper divisors (16908647).

106567321 is a wasteful number, since it uses less digits than its factorization.

106567321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 106567321 is about 10323.1449180955. The cubic root of 106567321 is about 474.1051607252.

It can be divided in two parts, 1065 and 67321, that added together give a palindrome (68386).

The spelling of 106567321 in words is "one hundred six million, five hundred sixty-seven thousand, three hundred twenty-one".