1005605106168 has 48 divisors (see below), whose sum is σ = 2722274188920. Its totient is φ = 309416954496.

The previous prime is 1005605106167. The next prime is 1005605106211. The reversal of 1005605106168 is 8616015065001.

1005605106168 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 2×1005605106168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005605106167) 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, 123961071 + ... + 123969182.

Almost surely, 2^{1005605106168} is an apocalyptic number.

It is an amenable number.

1005605106168 is an abundant number, since it is smaller than the sum of its proper divisors (1716669082752).

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

1005605106168 is a wasteful number, since it uses less digits than its factorization.

1005605106168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247930288 (or 247930271 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 1005605106168 in words is "one trillion, five billion, six hundred five million, one hundred six thousand, one hundred sixty-eight".