106492574224 has 45 divisors (see below), whose sum is σ = 219226007917. Its totient is φ = 50103709952.

The previous prime is 106492574203. The next prime is 106492574231. The reversal of 106492574224 is 422475294601.

The square root of 106492574224 is 326332.

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

It can be written as a sum of positive squares in only one way, i.e., 82909443600 + 23583130624 = 287940^2 + 153568^2 .

It is a super-2 number, since 2×106492574224² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22188177 + ... + 22192975.

Almost surely, 2^106492574224 is an apocalyptic number.

106492574224 is the 326332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106492574224

106492574224 is an abundant number, since it is smaller than the sum of its proper divisors (112733433693).

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

106492574224 is an frugal number, since it uses more digits than its factorization.

106492574224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9640 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 106492574224 in words is "one hundred six billion, four hundred ninety-two million, five hundred seventy-four thousand, two hundred twenty-four".