106563392 has 56 divisors (see below), whose sum is σ = 229063296. Its totient is φ = 48895488.

The previous prime is 106563389. The next prime is 106563397. The reversal of 106563392 is 293365601.

It is a super-2 number, since 2×106563392² = 22711513029091328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106563397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218573 + ... + 219059.

It is an arithmetic number, because the mean of its divisors is an integer number (4090416).

Almost surely, 2^106563392 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 106563392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114531648).

106563392 is an abundant number, since it is smaller than the sum of its proper divisors (122499904).

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

106563392 is a wasteful number, since it uses less digits than its factorization.

106563392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 106563392 is about 10322.9546158065. The cubic root of 106563392 is about 474.0993341045.

The spelling of 106563392 in words is "one hundred six million, five hundred sixty-three thousand, three hundred ninety-two".