1105142265401 has 16 divisors (see below), whose sum is σ = 1173781728000. Its totient is φ = 1036907682048.

The previous prime is 1105142265343. The next prime is 1105142265427. The reversal of 1105142265401 is 1045622415011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1105142265401 - 2¹⁴ = 1105142249017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1105142262401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28001840 + ... + 28041278.

It is an arithmetic number, because the mean of its divisors is an integer number (73361358000).

Almost surely, 2^{1105142265401} is an apocalyptic number.

It is an amenable number.

1105142265401 is a deficient number, since it is larger than the sum of its proper divisors (68639462599).

1105142265401 is a wasteful number, since it uses less digits than its factorization.

1105142265401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44528.

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 1105142265401 in words is "one trillion, one hundred five billion, one hundred forty-two million, two hundred sixty-five thousand, four hundred one".