105326211600 has 315 divisors, whose sum is σ = 380028102519. Its totient is φ = 28040256000.

The previous prime is 105326211581. The next prime is 105326211611. The reversal of 105326211600 is 6112623501.

The square root of 105326211600 is 324540.

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

105326211600 is a `hidden beast` number, since 1 + 0 + 5 + 32 + 6 + 21 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5601624336 + 99724587264 = 74844^2 + 315792^2 .

It is a super-2 number, since 2×105326211600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 175251300 + ... + 175251900.

Almost surely, 2^105326211600 is an apocalyptic number.

105326211600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105326211600 is the 324540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105326211600

105326211600 is an abundant number, since it is smaller than the sum of its proper divisors (274701890919).

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

105326211600 is an frugal number, since it uses more digits than its factorization.

105326211600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 105326211600 in words is "one hundred five billion, three hundred twenty-six million, two hundred eleven thousand, six hundred".