1006105560104 has 64 divisors (see below), whose sum is σ = 2054491560000. Its totient is φ = 460079198208.

The previous prime is 1006105560067. The next prime is 1006105560107. The reversal of 1006105560104 is 4010655016001.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1006105560107) 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, 49928159 + ... + 49948305.

It is an arithmetic number, because the mean of its divisors is an integer number (32101430625).

Almost surely, 2^{1006105560104} is an apocalyptic number.

It is an amenable number.

1006105560104 is an abundant number, since it is smaller than the sum of its proper divisors (1048385999896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006105560104 is a wasteful number, since it uses less digits than its factorization.

1006105560104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31530 (or 31526 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 1006105560104 in words is "one trillion, six billion, one hundred five million, five hundred sixty thousand, one hundred four".