100904070201 has 64 divisors (see below), whose sum is σ = 156764934144. Its totient is φ = 57130444800.

The previous prime is 100904070191. The next prime is 100904070229. The reversal of 100904070201 is 102070409001.

It is not a de Polignac number, because 100904070201 - 2¹⁵ = 100904037433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100904070901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5698081 + ... + 5715761.

It is an arithmetic number, because the mean of its divisors is an integer number (2449452096).

Almost surely, 2^100904070201 is an apocalyptic number.

100904070201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100904070201 is a deficient number, since it is larger than the sum of its proper divisors (55860863943).

100904070201 is a wasteful number, since it uses less digits than its factorization.

100904070201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894.

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 100904070201 its reverse (102070409001), we get a palindrome (202974479202).

The spelling of 100904070201 in words is "one hundred billion, nine hundred four million, seventy thousand, two hundred one".