100203312 has 80 divisors (see below), whose sum is σ = 285338880. Its totient is φ = 30048000.

The previous prime is 100203269. The next prime is 100203319. The reversal of 100203312 is 213302001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100203319) 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, 52389 + ... + 54267.

It is an arithmetic number, because the mean of its divisors is an integer number (3566736).

Almost surely, 2^100203312 is an apocalyptic number.

100203312 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 100203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142669440).

100203312 is an abundant number, since it is smaller than the sum of its proper divisors (185135568).

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

100203312 is a wasteful number, since it uses less digits than its factorization.

100203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100203312 is about 10010.1604382747. The cubic root of 100203312 is about 464.4732339896.

Adding to 100203312 its reverse (213302001), we get a palindrome (313505313).

The spelling of 100203312 in words is "one hundred million, two hundred three thousand, three hundred twelve".