1006104014564 has 24 divisors (see below), whose sum is σ = 2033728972128. Its totient is φ = 430418829440.

The previous prime is 1006104014557. The next prime is 1006104014567. The reversal of 1006104014564 is 4654104016001.

1006104014564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006104014564² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006104014564.

It is not an unprimeable number, because it can be changed into a prime (1006104014567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672528674 + ... + 672530169.

It is an arithmetic number, because the mean of its divisors is an integer number (84738707172).

Almost surely, 2^{1006104014564} is an apocalyptic number.

It is an amenable number.

1006104014564 is an abundant number, since it is smaller than the sum of its proper divisors (1027624957564).

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

1006104014564 is a wasteful number, since it uses less digits than its factorization.

1006104014564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345058875 (or 1345058873 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 1006104014564 in words is "one trillion, six billion, one hundred four million, fourteen thousand, five hundred sixty-four".