1006707005100 has 54 divisors (see below), whose sum is σ = 3155467182140. Its totient is φ = 268455201120.

The previous prime is 1006707005093. The next prime is 1006707005141. The reversal of 1006707005100 is 15007076001.

1006707005100 is a `hidden beast` number, since 10 + 0 + 6 + 70 + 70 + 0 + 510 + 0 = 666.

It is a super-2 number, since 2×1006707005100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 559280770 + ... + 559282569.

Almost surely, 2^{1006707005100} is an apocalyptic number.

1006707005100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006707005100 is an abundant number, since it is smaller than the sum of its proper divisors (2148760177040).

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

1006707005100 is a wasteful number, since it uses less digits than its factorization.

1006707005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118563359 (or 1118563349 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 1006707005100 in words is "one trillion, six billion, seven hundred seven million, five thousand, one hundred".