102627125 has 16 divisors (see below), whose sum is σ = 128409840. Its totient is φ = 81889600.

The previous prime is 102627121. The next prime is 102627139. The reversal of 102627125 is 521726201.

It can be written as a sum of positive squares in 8 ways, for example, as 13645636 + 88981489 = 3694^2 + 9433^2 .

It is not a de Polignac number, because 102627125 - 2² = 102627121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102627094 and 102627103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102627121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62819 + ... + 64431.

It is an arithmetic number, because the mean of its divisors is an integer number (8025615).

Almost surely, 2^102627125 is an apocalyptic number.

It is an amenable number.

102627125 is a deficient number, since it is larger than the sum of its proper divisors (25782715).

102627125 is an equidigital number, since it uses as much as digits as its factorization.

102627125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 102627125 is about 10130.5046764710. The cubic root of 102627125 is about 468.1884772416.

The spelling of 102627125 in words is "one hundred two million, six hundred twenty-seven thousand, one hundred twenty-five".