1034105120 has 48 divisors (see below), whose sum is σ = 2462358528. Its totient is φ = 410376960.

The previous prime is 1034105081. The next prime is 1034105129. The reversal of 1034105120 is 215014301.

It is not an unprimeable number, because it can be changed into a prime (1034105129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5126 + ... + 45765.

It is an arithmetic number, because the mean of its divisors is an integer number (51299136).

Almost surely, 2^1034105120 is an apocalyptic number.

1034105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034105120 is an abundant number, since it is smaller than the sum of its proper divisors (1428253408).

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

1034105120 is a wasteful number, since it uses less digits than its factorization.

1034105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51033 (or 51025 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1034105120 is about 32157.5048783328. The cubic root of 1034105120 is about 1011.2415278471.

Adding to 1034105120 its reverse (215014301), we get a palindrome (1249119421).

The spelling of 1034105120 in words is "one billion, thirty-four million, one hundred five thousand, one hundred twenty".