10106750606000 has 80 divisors (see below), whose sum is σ = 24441244201920. Its totient is φ = 4042183910400.

The previous prime is 10106750605951. The next prime is 10106750606101. The reversal of 10106750606000 is 60605760101.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 15535256 + ... + 16172744.

It is an arithmetic number, because the mean of its divisors is an integer number (305515552524).

Almost surely, 2^{10106750606000} is an apocalyptic number.

10106750606000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106750606000 is an abundant number, since it is smaller than the sum of its proper divisors (14334493595920).

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

10106750606000 is an equidigital number, since it uses as much as digits as its factorization.

10106750606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645439 (or 645423 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 10106750606000 in words is "ten trillion, one hundred six billion, seven hundred fifty million, six hundred six thousand".