108404904001 has 9 divisors (see below), whose sum is σ = 108838935849. Its totient is φ = 107972600064.

The previous prime is 108404903987. The next prime is 108404904007. The reversal of 108404904001 is 100409404801.

The square root of 108404904001 is 329249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8826790401 + 99578113600 = 93951^2 + 315560^2 .

It is not a de Polignac number, because 108404904001 - 2⁹ = 108404903489 is a prime.

It is a super-2 number, since 2×108404904001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108404904007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110956425 + ... + 110957401.

Almost surely, 2^108404904001 is an apocalyptic number.

108404904001 is the 329249-th square number.

108404904001 is the 164625-th centered octagonal number.

It is an amenable number.

108404904001 is a deficient number, since it is larger than the sum of its proper divisors (434031848).

108404904001 is an frugal number, since it uses more digits than its factorization.

108404904001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 108404904001 in words is "one hundred eight billion, four hundred four million, nine hundred four thousand, one".