10080144 has 30 divisors (see below), whose sum is σ = 28210806. Its totient is φ = 3360000.

The previous prime is 10080131. The next prime is 10080151. The reversal of 10080144 is 44108001.

10080144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 345744 = 3120^2 + 588^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34857 + ... + 35144.

Almost surely, 2^10080144 is an apocalyptic number.

It is an amenable number.

10080144 is an abundant number, since it is smaller than the sum of its proper divisors (18130662).

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

10080144 is a wasteful number, since it uses less digits than its factorization.

10080144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70015 (or 70006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10080144 is about 3174.9242510649. The cubic root of 10080144 is about 216.0174882960.

Adding to 10080144 its reverse (44108001), we get a palindrome (54188145).

The spelling of 10080144 in words is "ten million, eighty thousand, one hundred forty-four".