10006442601050 has 144 divisors (see below), whose sum is σ = 22734672262848. Its totient is φ = 3198770649600.

The previous prime is 10006442601037. The next prime is 10006442601107. The reversal of 10006442601050 is 5010624460001.

It is a super-2 number, since 2×10006442601050² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 68048105 + ... + 68194995.

It is an arithmetic number, because the mean of its divisors is an integer number (157879668492).

Almost surely, 2^{10006442601050} is an apocalyptic number.

10006442601050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006442601050 is an abundant number, since it is smaller than the sum of its proper divisors (12728229661798).

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

10006442601050 is a wasteful number, since it uses less digits than its factorization.

10006442601050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147141 (or 147029 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 10006442601050 in words is "ten trillion, six billion, four hundred forty-two million, six hundred one thousand, fifty".