10095600 has 120 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 2620160.

The previous prime is 10095577. The next prime is 10095607. The reversal of 10095600 is 659001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10095600² = 203842278720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10095607) by changing a digit.

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, 56311 + ... + 56489.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 2^10095600 is an apocalyptic number.

10095600 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 10095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

10095600 is an abundant number, since it is smaller than the sum of its proper divisors (23116560).

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

10095600 is a wasteful number, since it uses less digits than its factorization.

10095600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10095600 is about 3177.3573925512. The cubic root of 10095600 is about 216.1278392756.

The spelling of 10095600 in words is "ten million, ninety-five thousand, six hundred".