100312020 has 120 divisors (see below), whose sum is σ = 331346400. Its totient is φ = 25334208.

The previous prime is 100312007. The next prime is 100312033. The reversal of 100312020 is 20213001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100312007) and next prime (100312033).

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 = 100311993 and 100312011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29151 + ... + 32409.

It is an arithmetic number, because the mean of its divisors is an integer number (2761220).

Almost surely, 2^100312020 is an apocalyptic number.

100312020 is a gapful number since it is divisible by the number (10) 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 100312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165673200).

100312020 is an abundant number, since it is smaller than the sum of its proper divisors (231034380).

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

100312020 is a wasteful number, since it uses less digits than its factorization.

100312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3288 counting only the distinct ones).

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

The square root of 100312020 is about 10015.5888493887. The cubic root of 100312020 is about 464.6411383138.

Adding to 100312020 its reverse (20213001), we get a palindrome (120525021).

The spelling of 100312020 in words is "one hundred million, three hundred twelve thousand, twenty".