1105397801641 has 9 divisors (see below), whose sum is σ = 1285879473399. Its totient is φ = 947477521704.

The previous prime is 1105397801621. The next prime is 1105397801659. The reversal of 1105397801641 is 1461087935011.

The square root of 1105397801641 is 1051379.

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., 566941232025 + 538456569616 = 752955^2 + 733796^2 .

It is not a de Polignac number, because 1105397801641 - 2⁹ = 1105397801129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1105397801591 and 1105397801600.

It is not an unprimeable number, because it can be changed into a prime (1105397801621) 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, 7284555 + ... + 7434751.

Almost surely, 2^{1105397801641} is an apocalyptic number.

1105397801641 is the 1051379-th square number.

1105397801641 is the 525690-th centered octagonal number.

It is an amenable number.

1105397801641 is a deficient number, since it is larger than the sum of its proper divisors (180481671758).

1105397801641 is an frugal number, since it uses more digits than its factorization.

1105397801641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300408 (or 150204 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 1105397801641 in words is "one trillion, one hundred five billion, three hundred ninety-seven million, eight hundred one thousand, six hundred forty-one".