105749035399225 has 9 divisors (see below), whose sum is σ = 131128867652367. Its totient is φ = 84599187185640.

The previous prime is 105749035399223. The next prime is 105749035399253. The reversal of 105749035399225 is 522993530947501.

The square root of 105749035399225 is 10283435.

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

It can be written as a sum of positive squares in only one way, i.e., 38069652743721 + 67679382655504 = 6170061^2 + 8226748^2 .

It is not a de Polignac number, because 105749035399225 - 2¹ = 105749035399223 is a prime.

It is a super-2 number, since 2×105749035399225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105749035399223) 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, 50388832 + ... + 52445518.

Almost surely, 2^{105749035399225} is an apocalyptic number.

105749035399225 is the 10283435-th square number.

105749035399225 is the 5141718-th centered octagonal number.

It is an amenable number.

105749035399225 is a deficient number, since it is larger than the sum of its proper divisors (25379832253142).

105749035399225 is an frugal number, since it uses more digits than its factorization.

105749035399225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113384 (or 2056692 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 64.

The spelling of 105749035399225 in words is "one hundred five trillion, seven hundred forty-nine billion, thirty-five million, three hundred ninety-nine thousand, two hundred twenty-five".