1057105117000 has 32 divisors (see below), whose sum is σ = 2473625976120. Its totient is φ = 422842046400.

The previous prime is 1057105116983. The next prime is 1057105117021. The reversal of 1057105117000 is 7115017501.

It can be written as a sum of positive squares in 4 ways, for example, as 640406464516 + 416698652484 = 800254^2 + 645522^2 .

It is a super-2 number, since 2×1057105117000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057105117000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528551559 + ... + 528553558.

Almost surely, 2^{1057105117000} is an apocalyptic number.

1057105117000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057105117000 is an abundant number, since it is smaller than the sum of its proper divisors (1416520859120).

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

1057105117000 is a wasteful number, since it uses less digits than its factorization.

1057105117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057105138 (or 1057105124 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 28.

The spelling of 1057105117000 in words is "one trillion, fifty-seven billion, one hundred five million, one hundred seventeen thousand".