106214112 has 96 divisors (see below), whose sum is σ = 311623200. Its totient is φ = 35195904.

The previous prime is 106214089. The next prime is 106214177. The reversal of 106214112 is 211412601.

106214112 is a `hidden beast` number, since 1 + 0 + 621 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106214112² = 22562875175897088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232188 + ... + 232644.

It is an arithmetic number, because the mean of its divisors is an integer number (3246075).

Almost surely, 2^106214112 is an apocalyptic number.

106214112 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 106214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155811600).

106214112 is an abundant number, since it is smaller than the sum of its proper divisors (205409088).

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

106214112 is a wasteful number, since it uses less digits than its factorization.

106214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106214112 is about 10306.0230933178. The cubic root of 106214112 is about 473.5807862153.

Adding to 106214112 its reverse (211412601), we get a palindrome (317626713).

It can be divided in two parts, 1062141 and 12, that added together give a triangular number (1062153 = T₁₄₅₇).

The spelling of 106214112 in words is "one hundred six million, two hundred fourteen thousand, one hundred twelve".