106305921 has 12 divisors (see below), whose sum is σ = 157703572. Its totient is φ = 68954976.

The previous prime is 106305917. The next prime is 106305923. The reversal of 106305921 is 129503601.

106305921 is a `hidden beast` number, since 1 + 0 + 630 + 5 + 9 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92910321 + 13395600 = 9639^2 + 3660^2 .

It is not a de Polignac number, because 106305921 - 2² = 106305917 is a prime.

It is a super-2 number, since 2×106305921² = 22601897679316482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106305923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159286 + ... + 159951.

Almost surely, 2^106305921 is an apocalyptic number.

It is an amenable number.

106305921 is a deficient number, since it is larger than the sum of its proper divisors (51397651).

106305921 is a wasteful number, since it uses less digits than its factorization.

106305921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319280 (or 319277 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106305921 is about 10310.4762741592. The cubic root of 106305921 is about 473.7171976462.

The spelling of 106305921 in words is "one hundred six million, three hundred five thousand, nine hundred twenty-one".