106633566 has 48 divisors (see below), whose sum is σ = 259642656. Its totient is φ = 31382208.

The previous prime is 106633559. The next prime is 106633573. The reversal of 106633566 is 665336601.

It is a happy number.

106633566 is a `hidden beast` number, since 1 + 0 + 66 + 33 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (106633559) and next prime (106633573).

It is a super-2 number, since 2×106633566² = 22741434795752712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106633566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4525 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (5409222).

Almost surely, 2^106633566 is an apocalyptic number.

106633566 is an abundant number, since it is smaller than the sum of its proper divisors (153009090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106633566 is a wasteful number, since it uses less digits than its factorization.

106633566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19857 (or 19854 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 106633566 is about 10326.3529864130. The cubic root of 106633566 is about 474.2033790486.

The spelling of 106633566 in words is "one hundred six million, six hundred thirty-three thousand, five hundred sixty-six".