10497120 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2649600.

The previous prime is 10497083. The next prime is 10497167. The reversal of 10497120 is 2179401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10497120² = 220379056588800, which contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8545 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^10497120 is an apocalyptic number.

10497120 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 10497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

10497120 is an abundant number, since it is smaller than the sum of its proper divisors (24339360).

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

10497120 is a wasteful number, since it uses less digits than its factorization.

10497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10497120 is about 3239.9259250792. The cubic root of 10497120 is about 218.9559345047.

The spelling of 10497120 in words is "ten million, four hundred ninety-seven thousand, one hundred twenty".