10425600 has 162 divisors, whose sum is σ = 37479806. Its totient is φ = 2764800.

The previous prime is 10425559. The next prime is 10425631. The reversal of 10425600 is 652401.

It is a happy number.

10425600 is a `hidden beast` number, since 104 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 10342656 = 288^2 + 3216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57510 + ... + 57690.

Almost surely, 2^10425600 is an apocalyptic number.

10425600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739903).

10425600 is an abundant number, since it is smaller than the sum of its proper divisors (27054206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10425600 is a wasteful number, since it uses less digits than its factorization.

10425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10425600 is about 3228.8697712977. The cubic root of 10425600 is about 218.4575302293.

It can be divided in two parts, 10425 and 600, that added together give a square (11025 = 105²).

The spelling of 10425600 in words is "ten million, four hundred twenty-five thousand, six hundred".