106332561 has 32 divisors (see below), whose sum is σ = 163029120. Its totient is φ = 68444352.

The previous prime is 106332559. The next prime is 106332571. The reversal of 106332561 is 165233601.

106332561 is a `hidden beast` number, since 1 + 0 + 633 + 25 + 6 + 1 = 666.

It is not a de Polignac number, because 106332561 - 2¹ = 106332559 is a prime.

It is a super-2 number, since 2×106332561² = 22613227057637442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106332521) 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 31 ways as a sum of consecutive naturals, for example, 162511 + ... + 163163.

It is an arithmetic number, because the mean of its divisors is an integer number (5094660).

Almost surely, 2^106332561 is an apocalyptic number.

It is an amenable number.

106332561 is a deficient number, since it is larger than the sum of its proper divisors (56696559).

106332561 is a wasteful number, since it uses less digits than its factorization.

106332561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106332561 is about 10311.7680831175. The cubic root of 106332561 is about 473.7567651260.

The spelling of 106332561 in words is "one hundred six million, three hundred thirty-two thousand, five hundred sixty-one".