106020112 has 40 divisors (see below), whose sum is σ = 229315680. Its totient is φ = 47066880.

The previous prime is 106020097. The next prime is 106020113. The reversal of 106020112 is 211020601.

It is a super-2 number, since 2×106020112² = 22480528296985088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106020092 and 106020101.

It is not an unprimeable number, because it can be changed into a prime (106020113) 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, 564 + ... + 14572.

It is an arithmetic number, because the mean of its divisors is an integer number (5732892).

Almost surely, 2^106020112 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 106020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114657840).

106020112 is an abundant number, since it is smaller than the sum of its proper divisors (123295568).

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

106020112 is a wasteful number, since it uses less digits than its factorization.

106020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14071 (or 14065 counting only the distinct ones).

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

The square root of 106020112 is about 10296.6068197246. The cubic root of 106020112 is about 473.2922788347.

Adding to 106020112 its reverse (211020601), we get a palindrome (317040713).

The spelling of 106020112 in words is "one hundred six million, twenty thousand, one hundred twelve".