105875398225 has 27 divisors (see below), whose sum is σ = 133669573723. Its totient is φ = 83189230640.

The previous prime is 105875398159. The next prime is 105875398241. The reversal of 105875398225 is 522893578501.

The square root of 105875398225 is 325385.

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., 38115143361 + 67760254864 = 195231^2 + 260308^2 .

It is not a de Polignac number, because 105875398225 - 2²¹ = 105873301073 is a prime.

It is a super-2 number, since 2×105875398225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95988024 + ... + 95989126.

Almost surely, 2^105875398225 is an apocalyptic number.

105875398225 is the 325385-th square number.

105875398225 is the 162693-rd centered octagonal number.

It is an amenable number.

105875398225 is a deficient number, since it is larger than the sum of its proper divisors (27794175498).

105875398225 is an frugal number, since it uses more digits than its factorization.

105875398225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

It can be divided in two parts, 105875 and 398225, that added together give a square (504100 = 710²).

The spelling of 105875398225 in words is "one hundred five billion, eight hundred seventy-five million, three hundred ninety-eight thousand, two hundred twenty-five".