10010820 has 24 divisors (see below), whose sum is σ = 28030464. Its totient is φ = 2669536.

The previous prime is 10010797. The next prime is 10010821. The reversal of 10010820 is 2801001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10010796 and 10010805.

It is not an unprimeable number, because it can be changed into a prime (10010821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83364 + ... + 83483.

It is an arithmetic number, because the mean of its divisors is an integer number (1167936).

Almost surely, 2^10010820 is an apocalyptic number.

10010820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010820 is an abundant number, since it is smaller than the sum of its proper divisors (18019644).

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

10010820 is a wasteful number, since it uses less digits than its factorization.

10010820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166859 (or 166857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10010820 is about 3163.9879898634. The cubic root of 10010820 is about 215.5211442729.

Adding to 10010820 its reverse (2801001), we get a palindrome (12811821).

It can be divided in two parts, 100108 and 20, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 10010820 in words is "ten million, ten thousand, eight hundred twenty".