10987200 has 252 divisors, whose sum is σ = 45039280. Its totient is φ = 2488320.

The previous prime is 10987189. The next prime is 10987247. The reversal of 10987200 is 278901.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100746 + ... + 100854.

Almost surely, 2^10987200 is an apocalyptic number.

10987200 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 10987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22519640).

10987200 is an abundant number, since it is smaller than the sum of its proper divisors (34052080).

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

10987200 is a wasteful number, since it uses less digits than its factorization.

10987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10987200 is about 3314.6945560640. The cubic root of 10987200 is about 222.3117121053.

The spelling of 10987200 in words is "ten million, nine hundred eighty-seven thousand, two hundred".