10034125 has 8 divisors (see below), whose sum is σ = 12522744. Its totient is φ = 8027200.

The previous prime is 10034113. The next prime is 10034149. The reversal of 10034125 is 52143001.

It can be written as a sum of positive squares in 4 ways, for example, as 1022121 + 9012004 = 1011^2 + 3002^2 .

It is not a de Polignac number, because 10034125 - 2¹³ = 10025933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10034099 and 10034108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40012 + ... + 40261.

It is an arithmetic number, because the mean of its divisors is an integer number (1565343).

Almost surely, 2^10034125 is an apocalyptic number.

It is an amenable number.

10034125 is a deficient number, since it is larger than the sum of its proper divisors (2488619).

10034125 is an frugal number, since it uses more digits than its factorization.

10034125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80288 (or 80278 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10034125 is about 3167.6687011113. The cubic root of 10034125 is about 215.6882577128.

Adding to 10034125 its reverse (52143001), we get a palindrome (62177126).

It can be divided in two parts, 100 and 34125, that added together give a square (34225 = 185²).

The spelling of 10034125 in words is "ten million, thirty-four thousand, one hundred twenty-five".