10071116600 has 48 divisors (see below), whose sum is σ = 23586325200. Its totient is φ = 3999031040.

The previous prime is 10071116581. The next prime is 10071116609. The reversal of 10071116600 is 661117001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071116609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156380 + ... + 211179.

It is an arithmetic number, because the mean of its divisors is an integer number (491381775).

Almost surely, 2^10071116600 is an apocalyptic number.

10071116600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10071116600 is an abundant number, since it is smaller than the sum of its proper divisors (13515208600).

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

10071116600 is a wasteful number, since it uses less digits than its factorization.

10071116600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367712 (or 367703 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 10071116600 in words is "ten billion, seventy-one million, one hundred sixteen thousand, six hundred".