103185146844081 has 27 divisors (see below), whose sum is σ = 149337844357611. Its totient is φ = 68655301116624.

The previous prime is 103185146844071. The next prime is 103185146844103. The reversal of 103185146844081 is 180448641581301.

The square root of 103185146844081 is 10158009.

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

103185146844081 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 8 + 514 + 6 + 8 + 4 + 40 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9054712901025 + 94130433943056 = 3009105^2 + 9702084^2 .

It is not a de Polignac number, because 103185146844081 - 2³⁵ = 103150787105713 is a prime.

It is a super-2 number, since 2×103185146844081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103185146844011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16974030000 + ... + 16974036078.

Almost surely, 2^{103185146844081} is an apocalyptic number.

103185146844081 is the 10158009-th square number.

103185146844081 is the 5079005-th centered octagonal number.

It is an amenable number.

103185146844081 is a deficient number, since it is larger than the sum of its proper divisors (46152697513530).

103185146844081 is an frugal number, since it uses more digits than its factorization.

103185146844081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 103185146844081 in words is "one hundred three trillion, one hundred eighty-five billion, one hundred forty-six million, eight hundred forty-four thousand, eighty-one".