106563912 has 128 divisors (see below), whose sum is σ = 333849600. Its totient is φ = 27595008.

The previous prime is 106563887. The next prime is 106563923. The reversal of 106563912 is 219365601.

It is a happy number.

It is a super-2 number, since 2×106563912² = 22711734681487488, which contains 22 as substring.

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, 128443 + ... + 129269.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2^106563912 is an apocalyptic number.

106563912 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 106563912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924800).

106563912 is an abundant number, since it is smaller than the sum of its proper divisors (227285688).

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

106563912 is a wasteful number, since it uses less digits than its factorization.

106563912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 106563912 is about 10322.9798023633. The cubic root of 106563912 is about 474.1001052613.

The spelling of 106563912 in words is "one hundred six million, five hundred sixty-three thousand, nine hundred twelve".