1105023542401 has 9 divisors (see below), whose sum is σ = 1113293374921. Its totient is φ = 1096814713792.

The previous prime is 1105023542393. The next prime is 1105023542417. The reversal of 1105023542401 is 1042453205011.

The square root of 1105023542401 is 1051201.

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 53824464001 + 1051199078400 = 232001^2 + 1025280^2 .

It is not a de Polignac number, because 1105023542401 - 2³ = 1105023542393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1105023542401.

It is not an unprimeable number, because it can be changed into a prime (1105023542201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144010701 + ... + 144018373.

Almost surely, 2^{1105023542401} is an apocalyptic number.

1105023542401 is the 1051201-st square number.

1105023542401 is the 525601-st centered octagonal number.

It is an amenable number.

1105023542401 is a deficient number, since it is larger than the sum of its proper divisors (8269832520).

1105023542401 is an frugal number, since it uses more digits than its factorization.

1105023542401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15620 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 1105023542401 its reverse (1042453205011), we get a palindrome (2147476747412).

The spelling of 1105023542401 in words is "one trillion, one hundred five billion, twenty-three million, five hundred forty-two thousand, four hundred one".