106461333 has 24 divisors (see below), whose sum is σ = 168307776. Its totient is φ = 64310400.

The previous prime is 106461301. The next prime is 106461343. The reversal of 106461333 is 333164601.

106461333 is a `hidden beast` number, since 1 + 0 + 646 + 13 + 3 + 3 = 666.

It is not a de Polignac number, because 106461333 - 2⁵ = 106461301 is a prime.

It is a super-2 number, since 2×106461333² = 22668030848273778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106461297 and 106461306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106461343) 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 23 ways as a sum of consecutive naturals, for example, 31768 + ... + 34958.

It is an arithmetic number, because the mean of its divisors is an integer number (7012824).

Almost surely, 2^106461333 is an apocalyptic number.

It is an amenable number.

106461333 is a deficient number, since it is larger than the sum of its proper divisors (61846443).

106461333 is a wasteful number, since it uses less digits than its factorization.

106461333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106461333 is about 10318.0101279268. The cubic root of 106461333 is about 473.9479326454.

The spelling of 106461333 in words is "one hundred six million, four hundred sixty-one thousand, three hundred thirty-three".