10165613600 has 144 divisors (see below), whose sum is σ = 26790160320. Its totient is φ = 3755136000.

The previous prime is 10165613599. The next prime is 10165613603. The reversal of 10165613600 is 631656101.

10165613600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10165613603) 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 23 ways as a sum of consecutive naturals, for example, 524075 + ... + 543125.

It is an arithmetic number, because the mean of its divisors is an integer number (186042780).

Almost surely, 2^10165613600 is an apocalyptic number.

10165613600 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 10165613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395080160).

10165613600 is an abundant number, since it is smaller than the sum of its proper divisors (16624546720).

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

10165613600 is a wasteful number, since it uses less digits than its factorization.

10165613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19110 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 10165613600 in words is "ten billion, one hundred sixty-five million, six hundred thirteen thousand, six hundred".