106966824 has 16 divisors (see below), whose sum is σ = 267417120. Its totient is φ = 35655600.

The previous prime is 106966807. The next prime is 106966829. The reversal of 106966824 is 428669601.

It is a super-2 number, since 2×106966824² = 22883802873293952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106966829) 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 3 ways as a sum of consecutive naturals, for example, 2228452 + ... + 2228499.

It is an arithmetic number, because the mean of its divisors is an integer number (16713570).

Almost surely, 2^106966824 is an apocalyptic number.

It is an amenable number.

106966824 is an abundant number, since it is smaller than the sum of its proper divisors (160450296).

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

106966824 is a wasteful number, since it uses less digits than its factorization.

106966824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456960 (or 4456956 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 106966824 is about 10342.4766859781. The cubic root of 106966824 is about 474.6968688262.

The spelling of 106966824 in words is "one hundred six million, nine hundred sixty-six thousand, eight hundred twenty-four".