1061006106000 has 160 divisors (see below), whose sum is σ = 3493465118208. Its totient is φ = 276914995200.

The previous prime is 1061006105993. The next prime is 1061006106019. The reversal of 1061006106000 is 6016001601.

It is a super-2 number, since 2×1061006106000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599217 + ... + 2163216.

Almost surely, 2^{1061006106000} is an apocalyptic number.

1061006106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061006106000 is an abundant number, since it is smaller than the sum of its proper divisors (2432459012208).

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

1061006106000 is a wasteful number, since it uses less digits than its factorization.

1061006106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762506 (or 3762490 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 1061006106000 in words is "one trillion, sixty-one billion, six million, one hundred six thousand".