100020312 has 128 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 28197504.

The previous prime is 100020269. The next prime is 100020331. The reversal of 100020312 is 213020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100020294 and 100020303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125098 + ... + 125894.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^100020312 is an apocalyptic number.

100020312 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 100020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

100020312 is an abundant number, since it is smaller than the sum of its proper divisors (221733288).

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

100020312 is a wasteful number, since it uses less digits than its factorization.

100020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100020312 is about 10001.0155484331. The cubic root of 100020312 is about 464.1903078845.

Adding to 100020312 its reverse (213020001), we get a palindrome (313040313).

It can be divided in two parts, 1000 and 20312, that added together give a palindrome (21312).

The spelling of 100020312 in words is "one hundred million, twenty thousand, three hundred twelve".