1071066345100 has 36 divisors (see below), whose sum is σ = 2446541024200. Its totient is φ = 405877772160.

The previous prime is 1071066345073. The next prime is 1071066345121. The reversal of 1071066345100 is 15436601701.

1071066345100 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 2×1071066345100² (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 11 ways as a sum of consecutive naturals, for example, 281857665 + ... + 281861464.

Almost surely, 2^{1071066345100} is an apocalyptic number.

1071066345100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071066345100 is an abundant number, since it is smaller than the sum of its proper divisors (1375474679100).

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

1071066345100 is a wasteful number, since it uses less digits than its factorization.

1071066345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563719162 (or 563719155 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 1071066345100 in words is "one trillion, seventy-one billion, sixty-six million, three hundred forty-five thousand, one hundred".