103020084314161 has 9 divisors (see below), whose sum is σ = 119839772565561. Its totient is φ = 88302868512852.

The previous prime is 103020084314149. The next prime is 103020084314267. The reversal of 103020084314161 is 161413480020301.

The square root of 103020084314161 is 10149881.

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

It is not a de Polignac number, because 103020084314161 - 2²⁵ = 103020050759729 is a prime.

It is a super-2 number, since 2×103020084314161² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103020084314461) 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 8 ways as a sum of consecutive naturals, for example, 70324176 + ... + 71774158.

Almost surely, 2^{103020084314161} is an apocalyptic number.

103020084314161 is the 10149881-st square number.

103020084314161 is the 5074941-st centered octagonal number.

It is an amenable number.

103020084314161 is a deficient number, since it is larger than the sum of its proper divisors (16819688251400).

103020084314161 is an frugal number, since it uses more digits than its factorization.

103020084314161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899980 (or 1449990 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 103020084314161 in words is "one hundred three trillion, twenty billion, eighty-four million, three hundred fourteen thousand, one hundred sixty-one".