100305820 has 12 divisors (see below), whose sum is σ = 210642264. Its totient is φ = 40122320.

The previous prime is 100305817. The next prime is 100305823. The reversal of 100305820 is 28503001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100305817) and next prime (100305823).

It is a super-2 number, since 2×100305820² = 20122515051744800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100305823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2507626 + ... + 2507665.

It is an arithmetic number, because the mean of its divisors is an integer number (17553522).

Almost surely, 2^100305820 is an apocalyptic number.

100305820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100305820 is an abundant number, since it is smaller than the sum of its proper divisors (110336444).

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

100305820 is a wasteful number, since it uses less digits than its factorization.

100305820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015300 (or 5015298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 100305820 is about 10015.2793271082. The cubic root of 100305820 is about 464.6315654019.

Adding to 100305820 its reverse (28503001), we get a palindrome (128808821).

The spelling of 100305820 in words is "one hundred million, three hundred five thousand, eight hundred twenty".