10234344010500 has 72 divisors (see below), whose sum is σ = 32285943919320. Its totient is φ = 2729158401600.

The previous prime is 10234344010403. The next prime is 10234344010529. The reversal of 10234344010500 is 501044343201.

It is a happy number.

10234344010500 is a `hidden beast` number, since 102 + 3 + 4 + 3 + 4 + 40 + 10 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30267648576 + 10204076361924 = 173976^2 + 3194382^2 .

It is a super-2 number, since 2×10234344010500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137144835 + ... + 1137153834.

Almost surely, 2^{10234344010500} is an apocalyptic number.

10234344010500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234344010500 is an abundant number, since it is smaller than the sum of its proper divisors (22051599908820).

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

10234344010500 is a wasteful number, since it uses less digits than its factorization.

10234344010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274298694 (or 2274298679 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10234344010500 its reverse (501044343201), we get a palindrome (10735388353701).

The spelling of 10234344010500 in words is "ten trillion, two hundred thirty-four billion, three hundred forty-four million, ten thousand, five hundred".