10173211600 has 120 divisors (see below), whose sum is σ = 25382047320. Its totient is φ = 3913728000.

The previous prime is 10173211597. The next prime is 10173211639. The reversal of 10173211600 is 611237101.

It can be written as a sum of positive squares in 12 ways, for example, as 5363511696 + 4809699904 = 73236^2 + 69352^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3258040 + ... + 3261160.

It is an arithmetic number, because the mean of its divisors is an integer number (211517061).

Almost surely, 2^10173211600 is an apocalyptic number.

10173211600 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 10173211600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691023660).

10173211600 is an abundant number, since it is smaller than the sum of its proper divisors (15208835720).

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

10173211600 is a wasteful number, since it uses less digits than its factorization.

10173211600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 10173211600 its reverse (611237101), we get a palindrome (10784448701).

The spelling of 10173211600 in words is "ten billion, one hundred seventy-three million, two hundred eleven thousand, six hundred".