10059120 has 80 divisors (see below), whose sum is σ = 34655520. Its totient is φ = 2681856.

The previous prime is 10059107. The next prime is 10059131. The reversal of 10059120 is 2195001.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 10059093 and 10059102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 4488.

It is an arithmetic number, because the mean of its divisors is an integer number (433194).

Almost surely, 2^10059120 is an apocalyptic number.

10059120 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 10059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327760).

10059120 is an abundant number, since it is smaller than the sum of its proper divisors (24596400).

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

10059120 is a wasteful number, since it uses less digits than its factorization.

10059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10059120 is about 3171.6115777314. The cubic root of 10059120 is about 215.8672023228.

The spelling of 10059120 in words is "ten million, fifty-nine thousand, one hundred twenty".