106496424 has 64 divisors (see below), whose sum is σ = 299616000. Its totient is φ = 35049456.

The previous prime is 106496413. The next prime is 106496459. The reversal of 106496424 is 424694601.

The cubic root of 106496424 is 474.

It is a perfect power (a cube), and thus also a powerful number.

106496424 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 9 + 642 + 4 = 666.

It is a super-2 number, since 2×106496424² = 22682976649575552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348017 + ... + 1348095.

It is an arithmetic number, because the mean of its divisors is an integer number (4681500).

Almost surely, 2^106496424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106496424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149808000).

106496424 is an abundant number, since it is smaller than the sum of its proper divisors (193119576).

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

106496424 is an frugal number, since it uses more digits than its factorization.

106496424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 84 counting only the distinct ones).

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

The square root of 106496424 is about 10319.7104610546.

The spelling of 106496424 in words is "one hundred six million, four hundred ninety-six thousand, four hundred twenty-four".