10114320 has 160 divisors (see below), whose sum is σ = 34604928. Its totient is φ = 2433024.

The previous prime is 10114309. The next prime is 10114343. The reversal of 10114320 is 2341101.

10114320 = T₂₃ + T₂₄ + ... + T₃₉₂.

It is a happy number.

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 = 10114296 and 10114305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150927 + ... + 150993.

Almost surely, 2^10114320 is an apocalyptic number.

10114320 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 10114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464).

10114320 is an abundant number, since it is smaller than the sum of its proper divisors (24490608).

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

10114320 is a wasteful number, since it uses less digits than its factorization.

10114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10114320 is about 3180.3018724643. The cubic root of 10114320 is about 216.2613434748.

Adding to 10114320 its reverse (2341101), we get a palindrome (12455421).

The spelling of 10114320 in words is "ten million, one hundred fourteen thousand, three hundred twenty".