10168705600 has 63 divisors (see below), whose sum is σ = 25031300331. Its totient is φ = 4065868800.

The previous prime is 10168705579. The next prime is 10168705643. The reversal of 10168705600 is 650786101.

The square root of 10168705600 is 100840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6230892096 + 3937813504 = 78936^2 + 62752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4032340 + ... + 4034860.

Almost surely, 2^10168705600 is an apocalyptic number.

10168705600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10168705600 is the 100840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168705600

10168705600 is an abundant number, since it is smaller than the sum of its proper divisors (14862594731).

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

10168705600 is an frugal number, since it uses more digits than its factorization.

10168705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 10168705600 in words is "ten billion, one hundred sixty-eight million, seven hundred five thousand, six hundred".