10107120 has 80 divisors (see below), whose sum is σ = 32712192. Its totient is φ = 2576640.

The previous prime is 10107103. The next prime is 10107121. The reversal of 10107120 is 2170101.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10107096 and 10107105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107121) 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 15 ways as a sum of consecutive naturals, for example, 4605 + ... + 6435.

Almost surely, 2^10107120 is an apocalyptic number.

10107120 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 10107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356096).

10107120 is an abundant number, since it is smaller than the sum of its proper divisors (22605072).

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

10107120 is a wasteful number, since it uses less digits than its factorization.

10107120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 10107120 is about 3179.1697029256. The cubic root of 10107120 is about 216.2100152163.

Adding to 10107120 its reverse (2170101), we get a palindrome (12277221).

The spelling of 10107120 in words is "ten million, one hundred seven thousand, one hundred twenty".