1105915140625 has 63 divisors (see below), whose sum is σ = 1420348948207. Its totient is φ = 861070550000.

The previous prime is 1105915140623. The next prime is 1105915140661. The reversal of 1105915140625 is 5260415195011.

The square root of 1105915140625 is 1051625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 968887831041 + 137027309584 = 984321^2 + 370172^2 .

It is not a de Polignac number, because 1105915140625 - 2¹ = 1105915140623 is a prime.

It is a super-2 number, since 2×1105915140625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105915140623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6178296786 + ... + 6178296964.

Almost surely, 2^{1105915140625} is an apocalyptic number.

1105915140625 is the 1051625-th square number.

1105915140625 is the 525813-rd centered octagonal number.

It is an amenable number.

1105915140625 is a deficient number, since it is larger than the sum of its proper divisors (314433807582).

1105915140625 is an frugal number, since it uses more digits than its factorization.

1105915140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 40.

The spelling of 1105915140625 in words is "one trillion, one hundred five billion, nine hundred fifteen million, one hundred forty thousand, six hundred twenty-five".