100009820 has 12 divisors (see below), whose sum is σ = 210020664. Its totient is φ = 40003920.

The previous prime is 100009817. The next prime is 100009823. The reversal of 100009820 is 28900001.

It is an interprime number because it is at equal distance from previous prime (100009817) and next prime (100009823).

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5000491 = 100009820 / (1 + 0 + 0 + 0 + 0 + 9 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 100009792 and 100009801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100009823) 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, 2500226 + ... + 2500265.

It is an arithmetic number, because the mean of its divisors is an integer number (17501722).

Almost surely, 2^100009820 is an apocalyptic number.

100009820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100009820 is an abundant number, since it is smaller than the sum of its proper divisors (110010844).

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

100009820 is a wasteful number, since it uses less digits than its factorization.

100009820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000500 (or 5000498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 100009820 is about 10000.4909879465. The cubic root of 100009820 is about 464.1740763314.

Adding to 100009820 its reverse (28900001), we get a palindrome (128909821).

The spelling of 100009820 in words is "one hundred million, nine thousand, eight hundred twenty".