105054625 has 24 divisors (see below), whose sum is σ = 141997752. Its totient is φ = 77563200.

The previous prime is 105054623. The next prime is 105054643. The reversal of 105054625 is 526450501.

It can be written as a sum of positive squares in 12 ways, for example, as 98247744 + 6806881 = 9912^2 + 2609^2 .

It is not a de Polignac number, because 105054625 - 2¹ = 105054623 is a prime.

It is a super-2 number, since 2×105054625² = 22072948467781250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105054593 and 105054602.

It is not an unprimeable number, because it can be changed into a prime (105054623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18639 + ... + 23611.

It is an arithmetic number, because the mean of its divisors is an integer number (5916573).

Almost surely, 2^105054625 is an apocalyptic number.

It is an amenable number.

105054625 is a deficient number, since it is larger than the sum of its proper divisors (36943127).

105054625 is an equidigital number, since it uses as much as digits as its factorization.

105054625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 4991 counting only the distinct ones).

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

The square root of 105054625 is about 10249.6158464598. The cubic root of 105054625 is about 471.8511946531.

The spelling of 105054625 in words is "one hundred five million, fifty-four thousand, six hundred twenty-five".