10252800 has 180 divisors, whose sum is σ = 37104210. Its totient is φ = 2703360.

The previous prime is 10252783. The next prime is 10252817. The reversal of 10252800 is 825201.

It is an interprime number because it is at equal distance from previous prime (10252783) and next prime (10252817).

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 4260096 = 2448^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×10252800³ (a number of 22 digits) contains 333 as substring.

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

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, 115156 + ... + 115244.

Almost surely, 2^10252800 is an apocalyptic number.

10252800 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 10252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552105).

10252800 is an abundant number, since it is smaller than the sum of its proper divisors (26851410).

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

10252800 is an equidigital number, since it uses as much as digits as its factorization.

10252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10252800 is about 3201.9993753903. Note that the first 3 decimals coincide. The cubic root of 10252800 is about 217.2438522407.

The spelling of 10252800 in words is "ten million, two hundred fifty-two thousand, eight hundred".