1070095078116 has 81 divisors (see below), whose sum is σ = 2757810325179. Its totient is φ = 349860618432.

The previous prime is 1070095078111. The next prime is 1070095078133. The reversal of 1070095078116 is 6118705900701.

The square root of 1070095078116 is 1034454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 701985919716 + 368109158400 = 837846^2 + 606720^2 .

It is a super-2 number, since 2×1070095078116² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070095078111) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 328954746 + ... + 328957998.

Almost surely, 2^{1070095078116} is an apocalyptic number.

1070095078116 is the 1034454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070095078116

1070095078116 is an abundant number, since it is smaller than the sum of its proper divisors (1687715247063).

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

1070095078116 is an frugal number, since it uses more digits than its factorization.

1070095078116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 1070095078116 in words is "one trillion, seventy billion, ninety-five million, seventy-eight thousand, one hundred sixteen".