105379155739225 has 9 divisors (see below), whose sum is σ = 130670216762367. Its totient is φ = 84303283529640.

The previous prime is 105379155739201. The next prime is 105379155739237. The reversal of 105379155739225 is 522937551973501.

The square root of 105379155739225 is 10265435.

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., 37936496066121 + 67442659673104 = 6159261^2 + 8212348^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105379155739225 is a prime.

It is a super-2 number, since 2×105379155739225² (a number of 29 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 8 ways as a sum of consecutive naturals, for example, 50300632 + ... + 52353718.

Almost surely, 2^{105379155739225} is an apocalyptic number.

105379155739225 is the 10265435-th square number.

105379155739225 is the 5132718-th centered octagonal number.

It is an amenable number.

105379155739225 is a deficient number, since it is larger than the sum of its proper divisors (25291061023142).

105379155739225 is an frugal number, since it uses more digits than its factorization.

105379155739225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106184 (or 2053092 counting only the distinct ones).

The product of its (nonzero) digits is 89302500, while the sum is 64.

The spelling of 105379155739225 in words is "one hundred five trillion, three hundred seventy-nine billion, one hundred fifty-five million, seven hundred thirty-nine thousand, two hundred twenty-five".