100111820 has 24 divisors (see below), whose sum is σ = 210549024. Its totient is φ = 39984896.

The previous prime is 100111807. The next prime is 100111853. The reversal of 100111820 is 28111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111795 and 100111804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11492 + ... + 18228.

It is an arithmetic number, because the mean of its divisors is an integer number (8772876).

Almost surely, 2^100111820 is an apocalyptic number.

100111820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111820 is an abundant number, since it is smaller than the sum of its proper divisors (110437204).

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

100111820 is a wasteful number, since it uses less digits than its factorization.

100111820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 100111820 is about 10005.5894379092. The cubic root of 100111820 is about 464.3318264034.

Adding to 100111820 its reverse (28111001), we get a palindrome (128222821).

It can be divided in two parts, 1001 and 11820, that added together give a palindrome (12821).

The spelling of 100111820 in words is "one hundred million, one hundred eleven thousand, eight hundred twenty".