10200106510 has 32 divisors (see below), whose sum is σ = 20049138144. Its totient is φ = 3705456000.

The previous prime is 10200106459. The next prime is 10200106517. The reversal of 10200106510 is 1560100201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200106517) 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 15 ways as a sum of consecutive naturals, for example, 66900 + ... + 157720.

It is an arithmetic number, because the mean of its divisors is an integer number (626535567).

Almost surely, 2^10200106510 is an apocalyptic number.

10200106510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200106510 is a deficient number, since it is larger than the sum of its proper divisors (9849031634).

10200106510 is a wasteful number, since it uses less digits than its factorization.

10200106510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91860.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10200106510 its reverse (1560100201), we get a palindrome (11760206711).

The spelling of 10200106510 in words is "ten billion, two hundred million, one hundred six thousand, five hundred ten".