10315200 has 168 divisors, whose sum is σ = 38803072. Its totient is φ = 2350080.

The previous prime is 10315199. The next prime is 10315211. The reversal of 10315200 is 251301.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 33447 + ... + 33753.

Almost surely, 2^10315200 is an apocalyptic number.

10315200 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 10315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401536).

10315200 is an abundant number, since it is smaller than the sum of its proper divisors (28487872).

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

10315200 is a wasteful number, since it uses less digits than its factorization.

10315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10315200 is about 3211.7285065833. The cubic root of 10315200 is about 217.6836868131.

Adding to 10315200 its reverse (251301), we get a palindrome (10566501).

The spelling of 10315200 in words is "ten million, three hundred fifteen thousand, two hundred".