10293120 has 96 divisors (see below), whose sum is σ = 35563320. Its totient is φ = 2743296.

The previous prime is 10293119. The next prime is 10293133. The reversal of 10293120 is 2139201.

It is a happy number.

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

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 = 10293093 and 10293102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4867 + ... + 6653.

Almost surely, 2^10293120 is an apocalyptic number.

10293120 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 10293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781660).

10293120 is an abundant number, since it is smaller than the sum of its proper divisors (25270200).

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

10293120 is a wasteful number, since it uses less digits than its factorization.

10293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10293120 is about 3208.2892637666. The cubic root of 10293120 is about 217.5282563369.

The spelling of 10293120 in words is "ten million, two hundred ninety-three thousand, one hundred twenty".