10136450600 has 192 divisors, whose sum is σ = 26447860800. Its totient is φ = 3590369280.

The previous prime is 10136450593. The next prime is 10136450609. The reversal of 10136450600 is 605463101.

10136450600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10136450600.

It is not an unprimeable number, because it can be changed into a prime (10136450609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11175347 + ... + 11176253.

It is an arithmetic number, because the mean of its divisors is an integer number (137749275).

Almost surely, 2^10136450600 is an apocalyptic number.

10136450600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10136450600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13223930400).

10136450600 is an abundant number, since it is smaller than the sum of its proper divisors (16311410200).

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

10136450600 is a wasteful number, since it uses less digits than its factorization.

10136450600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 10136450600 in words is "ten billion, one hundred thirty-six million, four hundred fifty thousand, six hundred".