10359168400 has 135 divisors (see below), whose sum is σ = 28991110689. Its totient is φ = 3546829440.

The previous prime is 10359168389. The next prime is 10359168403. The reversal of 10359168400 is 486195301.

The square root of 10359168400 is 101780.

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

It can be written as a sum of positive squares in only one way, i.e., 3729300624 + 6629867776 = 61068^2 + 81424^2 .

It is a super-3 number, since 3×10359168400³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10359168400.

It is not an unprimeable number, because it can be changed into a prime (10359168403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14248837 + ... + 14249563.

Almost surely, 2^10359168400 is an apocalyptic number.

10359168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10359168400 is the 101780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10359168400

10359168400 is an abundant number, since it is smaller than the sum of its proper divisors (18631942289).

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

10359168400 is an frugal number, since it uses more digits than its factorization.

10359168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

It can be divided in two parts, 103591 and 68400, that added together give a triangular number (171991 = T₅₈₆).

The spelling of 10359168400 in words is "ten billion, three hundred fifty-nine million, one hundred sixty-eight thousand, four hundred".