1005102434120 has 32 divisors (see below), whose sum is σ = 2261512665720. Its totient is φ = 402035251200.

The previous prime is 1005102434099. The next prime is 1005102434201. The reversal of 1005102434120 is 214342015001.

It can be written as a sum of positive squares in 4 ways, for example, as 475738508644 + 529363925476 = 689738^2 + 727574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711320 + ... + 3972920.

Almost surely, 2^{1005102434120} is an apocalyptic number.

1005102434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005102434120 is an abundant number, since it is smaller than the sum of its proper divisors (1256410231600).

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

1005102434120 is a wasteful number, since it uses less digits than its factorization.

1005102434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357665 (or 357661 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 1005102434120 its reverse (214342015001), we get a palindrome (1219444449121).

The spelling of 1005102434120 in words is "one trillion, five billion, one hundred two million, four hundred thirty-four thousand, one hundred twenty".