106566336 has 84 divisors (see below), whose sum is σ = 323450712. Its totient is φ = 33429504.

The previous prime is 106566323. The next prime is 106566347. The reversal of 106566336 is 633665601.

It is a happy number.

106566336 is a `hidden beast` number, since 10 + 6 + 5 + 6 + 633 + 6 = 666.

It is a super-2 number, since 2×106566336² = 22712767936929792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106566336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4351 + ... + 15233.

Almost surely, 2^106566336 is an apocalyptic number.

106566336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106566336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161725356).

106566336 is an abundant number, since it is smaller than the sum of its proper divisors (216884376).

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

106566336 is a wasteful number, since it uses less digits than its factorization.

106566336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10918 (or 10905 counting only the distinct ones).

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

The square root of 106566336 is about 10323.0972096556. The cubic root of 106566336 is about 474.1037000052.

The spelling of 106566336 in words is "one hundred six million, five hundred sixty-six thousand, three hundred thirty-six".