10095144 has 64 divisors (see below), whose sum is σ = 27086400. Its totient is φ = 3124224.

The previous prime is 10095131. The next prime is 10095149. The reversal of 10095144 is 44159001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10095149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44359 + ... + 44585.

It is an arithmetic number, because the mean of its divisors is an integer number (423225).

Almost surely, 2^10095144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10095144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543200).

10095144 is an abundant number, since it is smaller than the sum of its proper divisors (16991256).

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

10095144 is a wasteful number, since it uses less digits than its factorization.

10095144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10095144 is about 3177.2856339964. The cubic root of 10095144 is about 216.1245851920.

The spelling of 10095144 in words is "ten million, ninety-five thousand, one hundred forty-four".