106101112 has 64 divisors (see below), whose sum is σ = 222264000. Its totient is φ = 47170560.

The previous prime is 106101077. The next prime is 106101113. The reversal of 106101112 is 211101601.

It is a super-2 number, since 2×106101112² = 22514891935273088, which contains 22 as substring.

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 = 106101092 and 106101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101113) 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, 635253 + ... + 635419.

It is an arithmetic number, because the mean of its divisors is an integer number (3472875).

Almost surely, 2^106101112 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 106101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132000).

106101112 is an abundant number, since it is smaller than the sum of its proper divisors (116162888).

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

106101112 is a wasteful number, since it uses less digits than its factorization.

106101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 106101112 is about 10300.5394033517. The cubic root of 106101112 is about 473.4127808629.

Adding to 106101112 its reverse (211101601), we get a palindrome (317202713).

The spelling of 106101112 in words is "one hundred six million, one hundred one thousand, one hundred twelve".