100227312 has 120 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 32016000.

The previous prime is 100227301. The next prime is 100227313. The reversal of 100227312 is 213722001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100227313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399187 + ... + 399437.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^100227312 is an apocalyptic number.

100227312 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 100227312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

100227312 is an abundant number, since it is smaller than the sum of its proper divisors (192253968).

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

100227312 is a wasteful number, since it uses less digits than its factorization.

100227312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100227312 is about 10011.3591484873. The cubic root of 100227312 is about 464.5103134950.

Adding to 100227312 its reverse (213722001), we get a palindrome (313949313).

The spelling of 100227312 in words is "one hundred million, two hundred twenty-seven thousand, three hundred twelve".