1106770100345 has 144 divisors (see below), whose sum is σ = 1703408168880. Its totient is φ = 687905906688.

The previous prime is 1106770100341. The next prime is 1106770100407. The reversal of 1106770100345 is 5430010776011.

It can be written as a sum of positive squares in 24 ways, for example, as 1033595522281 + 73174578064 = 1016659^2 + 270508^2 .

It is not a de Polignac number, because 1106770100345 - 2² = 1106770100341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1106770100341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 578551109 + ... + 578553021.

It is an arithmetic number, because the mean of its divisors is an integer number (11829223395).

Almost surely, 2^{1106770100345} is an apocalyptic number.

It is an amenable number.

1106770100345 is a deficient number, since it is larger than the sum of its proper divisors (596638068535).

1106770100345 is a wasteful number, since it uses less digits than its factorization.

1106770100345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

Adding to 1106770100345 its reverse (5430010776011), we get a palindrome (6536780876356).

The spelling of 1106770100345 in words is "one trillion, one hundred six billion, seven hundred seventy million, one hundred thousand, three hundred forty-five".