106566791424 has 144 divisors (see below), whose sum is σ = 306621094080. Its totient is φ = 32742973440.

The previous prime is 106566791417. The next prime is 106566791467. The reversal of 106566791424 is 424197665601.

It is a happy number.

106566791424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106566791424² (a number of 23 digits) contains 22 as substring.

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, 441214 + ... + 638594.

Almost surely, 2^106566791424 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 106566791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153310547040).

106566791424 is an abundant number, since it is smaller than the sum of its proper divisors (200054302656).

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

106566791424 is a wasteful number, since it uses less digits than its factorization.

106566791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197456 (or 197442 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 106566791424 in words is "one hundred six billion, five hundred sixty-six million, seven hundred ninety-one thousand, four hundred twenty-four".