30067105289104 has 45 divisors (see below), whose sum is σ = 63081474070323. Its totient is φ = 13876993917696.

The previous prime is 30067105289077. The next prime is 30067105289129. The reversal of 30067105289104 is 40198250176003.

The square root of 30067105289104 is 5483348.

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 6827455443600 + 23239649845504 = 2612940^2 + 4820752^2 .

It is a super-2 number, since 2×30067105289104² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 285081372 + ... + 285186820.

It is a 1-persistent number, because it is pandigital, but 2⋅30067105289104 = 60134210578208 is not.

Almost surely, 2^{30067105289104} is an apocalyptic number.

30067105289104 is the 5483348-th square number.

It is an amenable number.

30067105289104 is an abundant number, since it is smaller than the sum of its proper divisors (33014368781219).

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

30067105289104 is an frugal number, since it uses more digits than its factorization.

30067105289104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210932 (or 105464 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 30067105289104 in words is "thirty trillion, sixty-seven billion, one hundred five million, two hundred eighty-nine thousand, one hundred four".