10149200 has 30 divisors (see below), whose sum is σ = 24384414. Its totient is φ = 4059520.

The previous prime is 10149193. The next prime is 10149203. The reversal of 10149200 is 294101.

It is a happy number.

10149200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 10061584 = 296^2 + 3172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10149203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12287 + ... + 13086.

Almost surely, 2^10149200 is an apocalyptic number.

10149200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10149200 is an abundant number, since it is smaller than the sum of its proper divisors (14235214).

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

10149200 is a wasteful number, since it uses less digits than its factorization.

10149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25391 (or 25380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10149200 is about 3185.7809089766. The cubic root of 10149200 is about 216.5096561358.

The spelling of 10149200 in words is "ten million, one hundred forty-nine thousand, two hundred".