1100105100597 has 16 divisors (see below), whose sum is σ = 1559277179712. Its totient is φ = 687511968000.

The previous prime is 1100105100587. The next prime is 1100105100599. The reversal of 1100105100597 is 7950015010011.

It is not a de Polignac number, because 1100105100597 - 2⁶ = 1100105100533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100105100599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42956698 + ... + 42982299.

It is an arithmetic number, because the mean of its divisors is an integer number (97454823732).

Almost surely, 2^{1100105100597} is an apocalyptic number.

1100105100597 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1100105100597 is a deficient number, since it is larger than the sum of its proper divisors (459172079115).

1100105100597 is a wasteful number, since it uses less digits than its factorization.

1100105100597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85939268.

The product of its (nonzero) digits is 1575, while the sum is 30.

The spelling of 1100105100597 in words is "one trillion, one hundred billion, one hundred five million, one hundred thousand, five hundred ninety-seven".