103627625 has 16 divisors (see below), whose sum is σ = 129611664. Its totient is φ = 82720000.

The previous prime is 103627619. The next prime is 103627633. The reversal of 103627625 is 526726301.

It can be written as a sum of positive squares in 8 ways, for example, as 45212176 + 58415449 = 6724^2 + 7643^2 .

It is not a de Polignac number, because 103627625 - 2¹⁴ = 103611241 is a prime.

It is a super-3 number, since 3×103627625³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103627591 and 103627600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109655 + ... + 110595.

It is an arithmetic number, because the mean of its divisors is an integer number (8100729).

Almost surely, 2^103627625 is an apocalyptic number.

It is an amenable number.

103627625 is a deficient number, since it is larger than the sum of its proper divisors (25984039).

103627625 is an frugal number, since it uses more digits than its factorization.

103627625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 103627625 is about 10179.7654688112. The cubic root of 103627625 is about 469.7049982178.

It can be divided in two parts, 1036276 and 25, that added together give a palindrome (1036301).

The spelling of 103627625 in words is "one hundred three million, six hundred twenty-seven thousand, six hundred twenty-five".