10115820 has 192 divisors, whose sum is σ = 37255680. Its totient is φ = 2246400.

The previous prime is 10115803. The next prime is 10115821. The reversal of 10115820 is 2851101.

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 = 10115793 and 10115802.

It is not an unprimeable number, because it can be changed into a prime (10115821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77155 + ... + 77285.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^10115820 is an apocalyptic number.

10115820 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 10115820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

10115820 is an abundant number, since it is smaller than the sum of its proper divisors (27139860).

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

10115820 is a wasteful number, since it uses less digits than its factorization.

10115820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10115820 is about 3180.5376903914. The cubic root of 10115820 is about 216.2720337957.

Adding to 10115820 its reverse (2851101), we get a palindrome (12966921).

The spelling of 10115820 in words is "ten million, one hundred fifteen thousand, eight hundred twenty".