1001105056107 has 32 divisors (see below), whose sum is σ = 1597281358400. Its totient is φ = 616035062016.

The previous prime is 1001105056093. The next prime is 1001105056151. The reversal of 1001105056107 is 7016505011001.

It is a happy number.

It is not a de Polignac number, because 1001105056107 - 2²³ = 1001096667499 is a prime.

It is a super-2 number, since 2×1001105056107² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1001105052107) 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 31 ways as a sum of consecutive naturals, for example, 8933073 + ... + 9044445.

It is an arithmetic number, because the mean of its divisors is an integer number (49915042450).

Almost surely, 2^{1001105056107} is an apocalyptic number.

1001105056107 is a deficient number, since it is larger than the sum of its proper divisors (596176302293).

1001105056107 is a wasteful number, since it uses less digits than its factorization.

1001105056107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137004 (or 136998 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 1001105056107 in words is "one trillion, one billion, one hundred five million, fifty-six thousand, one hundred seven".