10205801401104 has 45 divisors (see below), whose sum is σ = 28562176486389. Its totient is φ = 3401921021760.

The previous prime is 10205801401069. The next prime is 10205801401127. The reversal of 10205801401104 is 40110410850201.

It is a happy number.

The square root of 10205801401104 is 3194652.

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

10205801401104 is a `hidden beast` number, since 10 + 20 + 580 + 1 + 40 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9897643186704 + 308158214400 = 3146052^2 + 555120^2 .

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 8 ways as a sum of consecutive naturals, for example, 38202714 + ... + 38468934.

Almost surely, 2^{10205801401104} is an apocalyptic number.

10205801401104 is the 3194652-nd square number.

It is an amenable number.

10205801401104 is an abundant number, since it is smaller than the sum of its proper divisors (18356375085285).

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

10205801401104 is an frugal number, since it uses more digits than its factorization.

10205801401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532456 (or 266226 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10205801401104 in words is "ten trillion, two hundred five billion, eight hundred one million, four hundred one thousand, one hundred four".