100301820 has 48 divisors (see below), whose sum is σ = 288441888. Its totient is φ = 26023680.

The previous prime is 100301813. The next prime is 100301821. The reversal of 100301820 is 28103001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100301820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301821) 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, 20371 + ... + 24810.

It is an arithmetic number, because the mean of its divisors is an integer number (6009206).

Almost surely, 2^100301820 is an apocalyptic number.

100301820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100301820 is an abundant number, since it is smaller than the sum of its proper divisors (188140068).

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

100301820 is a wasteful number, since it uses less digits than its factorization.

100301820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45230 (or 45228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100301820 is about 10015.0796302376. The cubic root of 100301820 is about 464.6253891203.

Adding to 100301820 its reverse (28103001), we get a palindrome (128404821).

The spelling of 100301820 in words is "one hundred million, three hundred one thousand, eight hundred twenty".