100105820 has 24 divisors (see below), whose sum is σ = 217004928. Its totient is φ = 38750400.

The previous prime is 100105807. The next prime is 100105829. The reversal of 100105820 is 28501001.

100105820 is a modest number, since divided by 105820 gives 100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80111 + ... + 81350.

It is an arithmetic number, because the mean of its divisors is an integer number (9041872).

Almost surely, 2^100105820 is an apocalyptic number.

100105820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105820 is an abundant number, since it is smaller than the sum of its proper divisors (116899108).

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

100105820 is a wasteful number, since it uses less digits than its factorization.

100105820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161501 (or 161499 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 100105820 is about 10005.2896010061. The cubic root of 100105820 is about 464.3225499543.

Adding to 100105820 its reverse (28501001), we get a palindrome (128606821).

The spelling of 100105820 in words is "one hundred million, one hundred five thousand, eight hundred twenty".