10357820 has 72 divisors (see below), whose sum is σ = 25084080. Its totient is φ = 3562240.

The previous prime is 10357801. The next prime is 10357829. The reversal of 10357820 is 2875301.

It is a super-3 number, since 3×10357820³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10357820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116336 + ... + 116424.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 2^10357820 is an apocalyptic number.

10357820 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 10357820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542040).

10357820 is an abundant number, since it is smaller than the sum of its proper divisors (14726260).

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

10357820 is a wasteful number, since it uses less digits than its factorization.

10357820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 10357820 is about 3218.3567235470. The cubic root of 10357820 is about 217.9830809191.

The spelling of 10357820 in words is "ten million, three hundred fifty-seven thousand, eight hundred twenty".