106424964 has 36 divisors (see below), whose sum is σ = 284844924. Its totient is φ = 33388032.

The previous prime is 106424963. The next prime is 106424977. The reversal of 106424964 is 469424601.

106424964 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 9 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96236100 + 10188864 = 9810^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106424964² = 22652545924802592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106424963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86337 + ... + 87560.

It is an arithmetic number, because the mean of its divisors is an integer number (7912359).

Almost surely, 2^106424964 is an apocalyptic number.

It is an amenable number.

106424964 is an abundant number, since it is smaller than the sum of its proper divisors (178419960).

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

106424964 is a wasteful number, since it uses less digits than its factorization.

106424964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173924 (or 173919 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 106424964 is about 10316.2475736093. The cubic root of 106424964 is about 473.8939569434.

The spelling of 106424964 in words is "one hundred six million, four hundred twenty-four thousand, nine hundred sixty-four".