10684125 has 24 divisors (see below), whose sum is σ = 19261944. Its totient is φ = 5697600.

The previous prime is 10684117. The next prime is 10684127. The reversal of 10684125 is 52148601.

10684125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2424249 + 8259876 = 1557^2 + 2874^2 .

It is not a de Polignac number, because 10684125 - 2³ = 10684117 is a prime.

It is a super-2 number, since 2×10684125² = 228301054031250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684127) 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, 3624 + ... + 5873.

It is an arithmetic number, because the mean of its divisors is an integer number (802581).

Almost surely, 2^10684125 is an apocalyptic number.

10684125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10684125 is a deficient number, since it is larger than the sum of its proper divisors (8577819).

10684125 is an equidigital number, since it uses as much as digits as its factorization.

10684125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10684125 is about 3268.6579814964. The cubic root of 10684125 is about 220.2485139366.

The spelling of 10684125 in words is "ten million, six hundred eighty-four thousand, one hundred twenty-five".