106036199424 has 207 divisors, whose sum is σ = 312215563933. Its totient is φ = 34678505472.

The previous prime is 106036199413. The next prime is 106036199501. The reversal of 106036199424 is 424991630601.

The square root of 106036199424 is 325632.

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

106036199424 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 3 + 619 + 9 + 4 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76441190400 + 29595009024 = 276480^2 + 172032^2 .

It is a super-2 number, since 2×106036199424² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106036199424.

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, 2000682982 + ... + 2000683034.

Almost surely, 2^106036199424 is an apocalyptic number.

106036199424 is the 325632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106036199424

106036199424 is an abundant number, since it is smaller than the sum of its proper divisors (206179364509).

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

106036199424 is an frugal number, since it uses more digits than its factorization.

106036199424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 106036199424 in words is "one hundred six billion, thirty-six million, one hundred ninety-nine thousand, four hundred twenty-four".