105764796225 has 243 divisors, whose sum is σ = 219223715529. Its totient is φ = 50577436800.

The previous prime is 105764796197. The next prime is 105764796239. The reversal of 105764796225 is 522697467501.

It is a happy number.

The square root of 105764796225 is 325215.

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

105764796225 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 6 + 4 + 7 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 578739249 + 105186056976 = 24057^2 + 324324^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 105764796225 - 2⁷ = 105764796097 is a prime.

It is a super-2 number, since 2×105764796225² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1448832789 + ... + 1448832861.

Almost surely, 2^105764796225 is an apocalyptic number.

105764796225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105764796225 is the 325215-th square number.

105764796225 is the 162608-th centered octagonal number.

It is an amenable number.

105764796225 is an abundant number, since it is smaller than the sum of its proper divisors (113458919304).

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

105764796225 is an frugal number, since it uses more digits than its factorization.

105764796225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 105764796225 in words is "one hundred five billion, seven hundred sixty-four million, seven hundred ninety-six thousand, two hundred twenty-five".