105644500900 has 27 divisors (see below), whose sum is σ = 229255620321. Its totient is φ = 42256500240.

The previous prime is 105644500861. The next prime is 105644500903. The reversal of 105644500900 is 9005446501.

The square root of 105644500900 is 325030.

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

105644500900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38032020324 + 67612480576 = 195018^2 + 260024^2 .

It is a super-2 number, since 2×105644500900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105644500903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3234049 + ... + 3266551.

Almost surely, 2^105644500900 is an apocalyptic number.

105644500900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105644500900 is the 325030-th square number.

It is an amenable number.

105644500900 is an abundant number, since it is smaller than the sum of its proper divisors (123611119421).

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

105644500900 is an frugal number, since it uses more digits than its factorization.

105644500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65020 (or 32510 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 105644500900 in words is "one hundred five billion, six hundred forty-four million, five hundred thousand, nine hundred".