106316721 has 27 divisors (see below), whose sum is σ = 179005593. Its totient is φ = 60628680.

The previous prime is 106316713. The next prime is 106316737. The reversal of 106316721 is 127613601.

The square root of 106316721 is 10311.

It is a perfect power (a square), and thus also a powerful number.

106316721 is a `hidden beast` number, since 1 + 0 + 631 + 6 + 7 + 21 = 666.

It is not a de Polignac number, because 106316721 - 2³ = 106316713 is a prime.

It is a super-2 number, since 2×106316721² = 22606490328383682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106316711) 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 26 ways as a sum of consecutive naturals, for example, 216286 + ... + 216776.

Almost surely, 2^106316721 is an apocalyptic number.

106316721 is the 10311-st square number.

106316721 is the 5156-th centered octagonal number.

It is an amenable number.

106316721 is a deficient number, since it is larger than the sum of its proper divisors (72688872).

106316721 is an frugal number, since it uses more digits than its factorization.

106316721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 106316721 is about 473.7332393130.

The spelling of 106316721 in words is "one hundred six million, three hundred sixteen thousand, seven hundred twenty-one".