106563072 has 320 divisors, whose sum is σ = 381832704. Its totient is φ = 25559040.

The previous prime is 106563029. The next prime is 106563091. The reversal of 106563072 is 270365601.

It is a super-2 number, since 2×106563072² = 22711376628154368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010598 + ... + 2010650.

Almost surely, 2^106563072 is an apocalyptic number.

106563072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190916352).

106563072 is an abundant number, since it is smaller than the sum of its proper divisors (275269632).

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

106563072 is a wasteful number, since it uses less digits than its factorization.

106563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106563072 is about 10322.9391163563. The cubic root of 106563072 is about 474.0988595452.

The spelling of 106563072 in words is "one hundred six million, five hundred sixty-three thousand, seventy-two".