30106067121 has 45 divisors (see below), whose sum is σ = 48731716539. Its totient is φ = 18514317744.

The previous prime is 30106067099. The next prime is 30106067141. The reversal of 30106067121 is 12176060103.

The square root of 30106067121 is 173511.

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

30106067121 is a `hidden beast` number, since 30 + 1 + 0 + 606 + 7 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4453560225 + 25652506896 = 66735^2 + 160164^2 .

It is not a de Polignac number, because 30106067121 - 2⁷ = 30106066993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30106067141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20300046 + ... + 20301528.

Almost surely, 2^30106067121 is an apocalyptic number.

30106067121 is the 173511-st square number.

30106067121 is the 86756-th centered octagonal number.

It is an amenable number.

30106067121 is a deficient number, since it is larger than the sum of its proper divisors (18625649418).

30106067121 is an frugal number, since it uses more digits than its factorization.

30106067121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 30106067121 in words is "thirty billion, one hundred six million, sixty-seven thousand, one hundred twenty-one".