1100105105031 has 12 divisors (see below), whose sum is σ = 1589050221408. Its totient is φ = 733399012224.

The previous prime is 1100105105023. The next prime is 1100105105041. The reversal of 1100105105031 is 1305015010011.

1100105105031 is a `hidden beast` number, since 1 + 100 + 1 + 0 + 510 + 50 + 3 + 1 = 666.

It is not a de Polignac number, because 1100105105031 - 2³ = 1100105105023 is a prime.

It is a super-2 number, since 2×1100105105031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100105104995 and 1100105105013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100105105041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2084151 + ... + 2558103.

It is an arithmetic number, because the mean of its divisors is an integer number (132420851784).

Almost surely, 2^{1100105105031} is an apocalyptic number.

1100105105031 is a deficient number, since it is larger than the sum of its proper divisors (488945116377).

1100105105031 is a wasteful number, since it uses less digits than its factorization.

1100105105031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731862 (or 731859 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The spelling of 1100105105031 in words is "one trillion, one hundred billion, one hundred five million, one hundred five thousand, thirty-one".