1001056105070 has 48 divisors (see below), whose sum is σ = 2098192325760. Its totient is φ = 342874816704.

The previous prime is 1001056105061. The next prime is 1001056105079. The reversal of 1001056105070 is 705016501001.

It is an interprime number because it is at equal distance from previous prime (1001056105061) and next prime (1001056105079).

It is a super-2 number, since 2×1001056105070² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001056105079) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 536030 + ... + 1513089.

It is an arithmetic number, because the mean of its divisors is an integer number (43712340120).

Almost surely, 2^{1001056105070} is an apocalyptic number.

1001056105070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001056105070 is an abundant number, since it is smaller than the sum of its proper divisors (1097136220690).

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

1001056105070 is a wasteful number, since it uses less digits than its factorization.

1001056105070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050137 (or 2050130 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 1001056105070 in words is "one trillion, one billion, fifty-six million, one hundred five thousand, seventy".