10142880 has 192 divisors, whose sum is σ = 37231488. Its totient is φ = 2293760.

The previous prime is 10142879. The next prime is 10142887. The reversal of 10142880 is 8824101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10142880.

It is not an unprimeable number, because it can be changed into a prime (10142887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89704 + ... + 89816.

It is an arithmetic number, because the mean of its divisors is an integer number (193914).

Almost surely, 2^10142880 is an apocalyptic number.

10142880 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 10142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

10142880 is an abundant number, since it is smaller than the sum of its proper divisors (27088608).

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

10142880 is a wasteful number, since it uses less digits than its factorization.

10142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10142880 is about 3184.7888470038. The cubic root of 10142880 is about 216.4647059542.

Adding to 10142880 its reverse (8824101), we get a palindrome (18966981).

The spelling of 10142880 in words is "ten million, one hundred forty-two thousand, eight hundred eighty".