105368406025 has 9 divisors (see below), whose sum is σ = 130658836053. Its totient is φ = 84293426400.

The previous prime is 105368405983. The next prime is 105368406029. The reversal of 105368406025 is 520604863501.

The square root of 105368406025 is 324605.

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 49485337209 + 55883068816 = 222453^2 + 236396^2 .

It is not a de Polignac number, because 105368406025 - 2²³ = 105360017417 is a prime.

It is a super-3 number, since 3×105368406025³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105368406029) 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, 1590565 + ... + 1655485.

Almost surely, 2^105368406025 is an apocalyptic number.

105368406025 is the 324605-th square number.

105368406025 is the 162303-rd centered octagonal number.

It is an amenable number.

105368406025 is a deficient number, since it is larger than the sum of its proper divisors (25290430028).

105368406025 is an frugal number, since it uses more digits than its factorization.

105368406025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129852 (or 64926 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 105368406025 in words is "one hundred five billion, three hundred sixty-eight million, four hundred six thousand, twenty-five".