10191104401 has 9 divisors (see below), whose sum is σ = 10272405051. Its totient is φ = 10110444552.

The previous prime is 10191104389. The next prime is 10191104411. The reversal of 10191104401 is 10440119101.

The square root of 10191104401 is 100951.

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

It can be written as a sum of positive squares in only one way, i.e., 2987169025 + 7203935376 = 54655^2 + 84876^2 .

It is not a de Polignac number, because 10191104401 - 2⁵ = 10191104369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10191104411) 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, 15848986 + ... + 15849628.

It is an arithmetic number, because the mean of its divisors is an integer number (1141378339).

Almost surely, 2^10191104401 is an apocalyptic number.

10191104401 is the 100951-st square number.

10191104401 is the 50476-th centered octagonal number.

It is an amenable number.

10191104401 is a deficient number, since it is larger than the sum of its proper divisors (81300650).

10191104401 is an frugal number, since it uses more digits than its factorization.

10191104401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Multiplying 10191104401 by its product of nonzero digits (144), we get a square (1467519033744 = 1211412²).

The spelling of 10191104401 in words is "ten billion, one hundred ninety-one million, one hundred four thousand, four hundred one".