1006105561007 has 16 divisors (see below), whose sum is σ = 1070046393600. Its totient is φ = 944569900800.

The previous prime is 1006105560991. The next prime is 1006105561051. The reversal of 1006105561007 is 7001655016001.

It is not a de Polignac number, because 1006105561007 - 2⁴ = 1006105560991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006105561607) 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, 3506132 + ... + 3782217.

It is an arithmetic number, because the mean of its divisors is an integer number (66877899600).

Almost surely, 2^{1006105561007} is an apocalyptic number.

1006105561007 is a deficient number, since it is larger than the sum of its proper divisors (63940832593).

1006105561007 is an equidigital number, since it uses as much as digits as its factorization.

1006105561007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7288514.

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 1006105561007 in words is "one trillion, six billion, one hundred five million, five hundred sixty-one thousand, seven".