105758292025 has 27 divisors (see below), whose sum is σ = 132215613831. Its totient is φ = 83918499840.

The previous prime is 105758291999. The next prime is 105758292037. The reversal of 105758292025 is 520292857501.

The square root of 105758292025 is 325205.

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

It can be written as a sum of positive squares in 13 ways, for example, as 103888248489 + 1870043536 = 322317^2 + 43244^2 .

It is not a de Polignac number, because 105758292025 - 2²⁹ = 105221421113 is a prime.

It is a super-2 number, since 2×105758292025² (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, 313822657 + ... + 313822993.

Almost surely, 2^105758292025 is an apocalyptic number.

105758292025 is the 325205-th square number.

105758292025 is the 162603-rd centered octagonal number.

It is an amenable number.

105758292025 is a deficient number, since it is larger than the sum of its proper divisors (26457321806).

105758292025 is an frugal number, since it uses more digits than its factorization.

105758292025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 105758292025 in words is "one hundred five billion, seven hundred fifty-eight million, two hundred ninety-two thousand, twenty-five".