10095120 has 120 divisors (see below), whose sum is σ = 38765376. Its totient is φ = 2306304.

The previous prime is 10095053. The next prime is 10095131. The reversal of 10095120 is 2159001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10095120² = 203822895628800, which contains 22 as substring.

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 = 10095093 and 10095102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4039 + ... + 6041.

Almost surely, 2^10095120 is an apocalyptic number.

10095120 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 10095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382688).

10095120 is an abundant number, since it is smaller than the sum of its proper divisors (28670256).

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

10095120 is a wasteful number, since it uses less digits than its factorization.

10095120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2020 counting only the distinct ones).

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

The square root of 10095120 is about 3177.2818571855. The cubic root of 10095120 is about 216.1244139217.

The spelling of 10095120 in words is "ten million, ninety-five thousand, one hundred twenty".