106315321 has 8 divisors (see below), whose sum is σ = 121588544. Its totient is φ = 91063440.

The previous prime is 106315309. The next prime is 106315333. The reversal of 106315321 is 123513601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106315309) and next prime (106315333).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106315321 - 2⁵ = 106315289 is a prime.

It is a super-2 number, since 2×106315321² = 22605894958666082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106315292 and 106315301.

It is not an unprimeable number, because it can be changed into a prime (106315381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7366 + ... + 16336.

It is an arithmetic number, because the mean of its divisors is an integer number (15198568).

Almost surely, 2^106315321 is an apocalyptic number.

It is an amenable number.

106315321 is a deficient number, since it is larger than the sum of its proper divisors (15273223).

106315321 is an equidigital number, since it uses as much as digits as its factorization.

106315321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 106315321 is about 10310.9321111139. The cubic root of 106315321 is about 473.7311598990.

Adding to 106315321 its reverse (123513601), we get a palindrome (229828922).

It can be divided in two parts, 1063 and 15321, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 106315321 in words is "one hundred six million, three hundred fifteen thousand, three hundred twenty-one".