105736325 has 12 divisors (see below), whose sum is σ = 133588548. Its totient is φ = 82992000.

The previous prime is 105736321. The next prime is 105736333. The reversal of 105736325 is 523637501.

It can be written as a sum of positive squares in 6 ways, for example, as 3786916 + 101949409 = 1946^2 + 10097^2 .

It is not a de Polignac number, because 105736325 - 2² = 105736321 is a prime.

It is a super-2 number, since 2×105736325² = 22360340849011250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105736291 and 105736300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105736321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38576 + ... + 41225.

It is an arithmetic number, because the mean of its divisors is an integer number (11132379).

Almost surely, 2^105736325 is an apocalyptic number.

It is an amenable number.

105736325 is a deficient number, since it is larger than the sum of its proper divisors (27852223).

105736325 is an equidigital number, since it uses as much as digits as its factorization.

105736325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79864 (or 79859 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 105736325 is about 10282.8169778519. The cubic root of 105736325 is about 472.8696099254.

The spelling of 105736325 in words is "one hundred five million, seven hundred thirty-six thousand, three hundred twenty-five".