820109010 has 128 divisors (see below), whose sum is σ = 2320280064. Its totient is φ = 181647360.

The previous prime is 820108997. The next prime is 820109021. The reversal of 820109010 is 10901028.

820109010 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934692 + ... + 935568.

It is an arithmetic number, because the mean of its divisors is an integer number (18127188).

Almost surely, 2^820109010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820109010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160140032).

820109010 is an abundant number, since it is smaller than the sum of its proper divisors (1500171054).

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

820109010 is a wasteful number, since it uses less digits than its factorization.

820109010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 820109010 is about 28637.5454604615. The cubic root of 820109010 is about 936.0316370160.

The spelling of 820109010 in words is "eight hundred twenty million, one hundred nine thousand, ten".