20106112 has 64 divisors (see below), whose sum is σ = 44296560. Its totient is φ = 9031680.

The previous prime is 20106109. The next prime is 20106127. The reversal of 20106112 is 21160102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 20106092 and 20106101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71412 + ... + 71692.

Almost surely, 2^20106112 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 20106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22148280).

20106112 is an abundant number, since it is smaller than the sum of its proper divisors (24190448).

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

20106112 is a wasteful number, since it uses less digits than its factorization.

20106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 20106112 is about 4483.9839428794. The cubic root of 20106112 is about 271.9209689655.

Adding to 20106112 its reverse (21160102), we get a palindrome (41266214).

The spelling of 20106112 in words is "twenty million, one hundred six thousand, one hundred twelve".