105625225 has 12 divisors (see below), whose sum is σ = 134171100. Its totient is φ = 82438400.

The previous prime is 105625211. The next prime is 105625249. The reversal of 105625225 is 522526501.

It can be written as a sum of positive squares in 6 ways, for example, as 28132416 + 77492809 = 5304^2 + 8803^2 .

It is not a de Polignac number, because 105625225 - 2⁹ = 105624713 is a prime.

It is a super-2 number, since 2×105625225² = 22313376312601250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105625193 and 105625202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50500 + ... + 52549.

It is an arithmetic number, because the mean of its divisors is an integer number (11180925).

Almost surely, 2^105625225 is an apocalyptic number.

It is an amenable number.

105625225 is a deficient number, since it is larger than the sum of its proper divisors (28545875).

105625225 is a wasteful number, since it uses less digits than its factorization.

105625225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103100 (or 103095 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 105625225 is about 10277.4133418872. The cubic root of 105625225 is about 472.7039329464.

It can be divided in two parts, 105625 and 225, that multiplied together give a square (23765625 = 4875²).

The spelling of 105625225 in words is "one hundred five million, six hundred twenty-five thousand, two hundred twenty-five".