10057320 has 192 divisors, whose sum is σ = 40360320. Its totient is φ = 2115072.

The previous prime is 10057309. The next prime is 10057337. The reversal of 10057320 is 2375001.

10057320 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10057320² = 202299371164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

10057320 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10057293 and 10057302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32607 + ... + 32913.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

Almost surely, 2^10057320 is an apocalyptic number.

10057320 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 10057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

10057320 is an abundant number, since it is smaller than the sum of its proper divisors (30303000).

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

10057320 is a wasteful number, since it uses less digits than its factorization.

10057320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10057320 is about 3171.3277976267. The cubic root of 10057320 is about 215.8543256449.

The spelling of 10057320 in words is "ten million, fifty-seven thousand, three hundred twenty".