106230312 has 64 divisors (see below), whose sum is σ = 297129600. Its totient is φ = 35164800.

The previous prime is 106230301. The next prime is 106230317. The reversal of 106230312 is 213032601.

106230312 is a `hidden beast` number, since 10 + 623 + 0 + 31 + 2 = 666.

It is a super-2 number, since 2×106230312² = 22569758375234688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106230317) 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, 30988 + ... + 34244.

It is an arithmetic number, because the mean of its divisors is an integer number (4642650).

Almost surely, 2^106230312 is an apocalyptic number.

106230312 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 106230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148564800).

106230312 is an abundant number, since it is smaller than the sum of its proper divisors (190899288).

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

106230312 is a wasteful number, since it uses less digits than its factorization.

106230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106230312 is about 10306.8090115224. The cubic root of 106230312 is about 473.6048621708.

Adding to 106230312 its reverse (213032601), we get a palindrome (319262913).

The spelling of 106230312 in words is "one hundred six million, two hundred thirty thousand, three hundred twelve".