10145200 has 60 divisors (see below), whose sum is σ = 26262208. Its totient is φ = 3744000.

The previous prime is 10145197. The next prime is 10145249. The reversal of 10145200 is 254101.

10145200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4225 + ... + 6175.

Almost surely, 2^10145200 is an apocalyptic number.

10145200 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 10145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131104).

10145200 is an abundant number, since it is smaller than the sum of its proper divisors (16117008).

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

10145200 is a wasteful number, since it uses less digits than its factorization.

10145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10145200 is about 3185.1530575468. The cubic root of 10145200 is about 216.4812088223.

Adding to 10145200 its reverse (254101), we get a palindrome (10399301).

The spelling of 10145200 in words is "ten million, one hundred forty-five thousand, two hundred".