10500102405 has 24 divisors (see below), whose sum is σ = 19600192248. Its totient is φ = 5169280896.

The previous prime is 10500102401. The next prime is 10500102409. The reversal of 10500102405 is 50420100501.

10500102405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10500102401) and next prime (10500102409).

It can be written as a sum of positive squares in 4 ways, for example, as 1461227076 + 9038875329 = 38226^2 + 95073^2 .

It is not a de Polignac number, because 10500102405 - 2² = 10500102401 is a prime.

It is a super-2 number, since 2×10500102405² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500102401) 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 23 ways as a sum of consecutive naturals, for example, 8973862 + ... + 8975031.

It is an arithmetic number, because the mean of its divisors is an integer number (816674677).

Almost surely, 2^10500102405 is an apocalyptic number.

10500102405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500102405 is a deficient number, since it is larger than the sum of its proper divisors (9100089843).

10500102405 is a wasteful number, since it uses less digits than its factorization.

10500102405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17948917 (or 17948914 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10500102405 its reverse (50420100501), we get a palindrome (60920202906).

The spelling of 10500102405 in words is "ten billion, five hundred million, one hundred two thousand, four hundred five".