1042120305 has 24 divisors (see below), whose sum is σ = 1807963560. Its totient is φ = 555298560.

The previous prime is 1042120301. The next prime is 1042120337. The reversal of 1042120305 is 5030212401.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 362788209 = 26064^2 + 19047^2 .

It is not a de Polignac number, because 1042120305 - 2² = 1042120301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042120301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43341 + ... + 62949.

It is an arithmetic number, because the mean of its divisors is an integer number (75331815).

Almost surely, 2^1042120305 is an apocalyptic number.

1042120305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1042120305 is a deficient number, since it is larger than the sum of its proper divisors (765843255).

1042120305 is a wasteful number, since it uses less digits than its factorization.

1042120305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20801 (or 20798 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1042120305 is about 32281.8881882705. Note that the first 3 decimals coincide. The cubic root of 1042120305 is about 1013.8474643048.

Adding to 1042120305 its reverse (5030212401), we get a palindrome (6072332706).

The spelling of 1042120305 in words is "one billion, forty-two million, one hundred twenty thousand, three hundred five".