105612000400 has 45 divisors (see below), whose sum is σ = 253748447211. Its totient is φ = 42242200320.

The previous prime is 105612000397. The next prime is 105612000407. The reversal of 105612000400 is 4000216501.

The square root of 105612000400 is 324980.

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 210482064 + 105401518336 = 14508^2 + 324656^2 .

It is a super-2 number, since 2×105612000400² (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 (105612000407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6491476 + ... + 6507724.

Almost surely, 2^105612000400 is an apocalyptic number.

105612000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105612000400 is the 324980-th square number.

It is an amenable number.

105612000400 is an abundant number, since it is smaller than the sum of its proper divisors (148136446811).

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

105612000400 is an frugal number, since it uses more digits than its factorization.

105612000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32516 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 105612000400 its reverse (4000216501), we get a palindrome (109612216901).

The spelling of 105612000400 in words is "one hundred five billion, six hundred twelve million, four hundred", and thus it is an aban number.