1067005106721 has 12 divisors (see below), whose sum is σ = 1545429139072. Its totient is φ = 709398488376.

The previous prime is 1067005106719. The next prime is 1067005106737. The reversal of 1067005106721 is 1276015007601.

1067005106721 is a `hidden beast` number, since 1 + 0 + 6 + 70 + 0 + 510 + 6 + 72 + 1 = 666.

It is not a de Polignac number, because 1067005106721 - 2¹ = 1067005106719 is a prime.

It is a super-2 number, since 2×1067005106721² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1067005108721) 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, 161517301 + ... + 161523906.

Almost surely, 2^{1067005106721} is an apocalyptic number.

It is an amenable number.

1067005106721 is a deficient number, since it is larger than the sum of its proper divisors (478424032351).

1067005106721 is a wasteful number, since it uses less digits than its factorization.

1067005106721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323041580 (or 323041577 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 1067005106721 in words is "one trillion, sixty-seven billion, five million, one hundred six thousand, seven hundred twenty-one".