100109003920 has 20 divisors (see below), whose sum is σ = 232753434300. Its totient is φ = 40043601536.

The previous prime is 100109003909. The next prime is 100109003921. The reversal of 100109003920 is 29300901001.

It can be written as a sum of positive squares in 2 ways, for example, as 74839450624 + 25269553296 = 273568^2 + 158964^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (100109003921) 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 3 ways as a sum of consecutive naturals, for example, 625681195 + ... + 625681354.

It is an arithmetic number, because the mean of its divisors is an integer number (11637671715).

Almost surely, 2^100109003920 is an apocalyptic number.

100109003920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100109003920 is an abundant number, since it is smaller than the sum of its proper divisors (132644430380).

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

100109003920 is a wasteful number, since it uses less digits than its factorization.

100109003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251362562 (or 1251362556 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 100109003920 its reverse (29300901001), we get a palindrome (129409904921).

The spelling of 100109003920 in words is "one hundred billion, one hundred nine million, three thousand, nine hundred twenty".