105307389121 has 9 divisors (see below), whose sum is σ = 115755020899. Its totient is φ = 95730745000.

The previous prime is 105307389053. The next prime is 105307389167. The reversal of 105307389121 is 121983703501.

The square root of 105307389121 is 324511.

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

It can be written as a sum of positive squares in only one way, i.e., 41631913521 + 63675475600 = 204039^2 + 252340^2 .

It is not a de Polignac number, because 105307389121 - 2⁷ = 105307388993 is a prime.

It is a super-2 number, since 2×105307389121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105307389191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3554871 + ... + 3584371.

Almost surely, 2^105307389121 is an apocalyptic number.

105307389121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105307389121 is the 324511-st square number.

105307389121 is the 162256-th centered octagonal number.

It is an amenable number.

105307389121 is a deficient number, since it is larger than the sum of its proper divisors (10447631778).

105307389121 is an frugal number, since it uses more digits than its factorization.

105307389121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59024 (or 29512 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 105307389121 in words is "one hundred five billion, three hundred seven million, three hundred eighty-nine thousand, one hundred twenty-one".