10164537000 has 192 divisors, whose sum is σ = 34420838400. Its totient is φ = 2705443200.

The previous prime is 10164536953. The next prime is 10164537007. The reversal of 10164537000 is 73546101.

10164537000 is a `hidden beast` number, since 10 + 1 + 645 + 3 + 7 + 0 + 0 + 0 = 666.

10164537000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10164537007) 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, 9350457 + ... + 9351543.

It is an arithmetic number, because the mean of its divisors is an integer number (179275200).

Almost surely, 2^10164537000 is an apocalyptic number.

10164537000 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 10164537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210419200).

10164537000 is an abundant number, since it is smaller than the sum of its proper divisors (24256301400).

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

10164537000 is a wasteful number, since it uses less digits than its factorization.

10164537000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10164537000 in words is "ten billion, one hundred sixty-four million, five hundred thirty-seven thousand".