10345120 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 3778560.

The previous prime is 10345117. The next prime is 10345151. The reversal of 10345120 is 2154301.

10345120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10345094 and 10345103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124599 + ... + 124681.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^10345120 is an apocalyptic number.

10345120 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 10345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

10345120 is an abundant number, since it is smaller than the sum of its proper divisors (16326560).

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

10345120 is a wasteful number, since it uses less digits than its factorization.

10345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10345120 is about 3216.3830617636. The cubic root of 10345120 is about 217.8939528541.

Adding to 10345120 its reverse (2154301), we get a palindrome (12499421).

The spelling of 10345120 in words is "ten million, three hundred forty-five thousand, one hundred twenty".