10147200 has 192 divisors, whose sum is σ = 38449920. Its totient is φ = 2304000.

The previous prime is 10147153. The next prime is 10147211. The reversal of 10147200 is 274101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10147200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67125 + ... + 67275.

It is an arithmetic number, because the mean of its divisors is an integer number (200260).

Almost surely, 2^10147200 is an apocalyptic number.

10147200 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 10147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224960).

10147200 is an abundant number, since it is smaller than the sum of its proper divisors (28302720).

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

10147200 is a wasteful number, since it uses less digits than its factorization.

10147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10147200 is about 3185.4669987303. The cubic root of 10147200 is about 216.4954334136.

The spelling of 10147200 in words is "ten million, one hundred forty-seven thousand, two hundred".