10106552600463 has 72 divisors (see below), whose sum is σ = 15640339822128. Its totient is φ = 5799860352000.

The previous prime is 10106552600453. The next prime is 10106552600483. The reversal of 10106552600463 is 36400625560101.

It is not a de Polignac number, because 10106552600463 - 2¹⁰ = 10106552599439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106552600453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 272681953 + ... + 272719013.

It is an arithmetic number, because the mean of its divisors is an integer number (217226941974).

Almost surely, 2^{10106552600463} is an apocalyptic number.

10106552600463 is a deficient number, since it is larger than the sum of its proper divisors (5533787221665).

10106552600463 is a wasteful number, since it uses less digits than its factorization.

10106552600463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39205 (or 39175 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 10106552600463 in words is "ten trillion, one hundred six billion, five hundred fifty-two million, six hundred thousand, four hundred sixty-three".