106306112 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 45158400.

The previous prime is 106306111. The next prime is 106306129. The reversal of 106306112 is 211603601.

It is a super-2 number, since 2×106306112² = 22601978897113088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106306111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836993 + ... + 837119.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^106306112 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 106306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

106306112 is an abundant number, since it is smaller than the sum of its proper divisors (139484608).

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

106306112 is a wasteful number, since it uses less digits than its factorization.

106306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106306112 is about 10310.4855365788. The cubic root of 106306112 is about 473.7174813555.

Adding to 106306112 its reverse (211603601), we get a palindrome (317909713).

The spelling of 106306112 in words is "one hundred six million, three hundred six thousand, one hundred twelve".