1023105820 has 72 divisors (see below), whose sum is σ = 2369581200. Its totient is φ = 370782720.

The previous prime is 1023105793. The next prime is 1023105821. The reversal of 1023105820 is 285013201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1023105791 and 1023105800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023105821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013476 + ... + 1014484.

It is an arithmetic number, because the mean of its divisors is an integer number (32910850).

Almost surely, 2^1023105820 is an apocalyptic number.

1023105820 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 1023105820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184790600).

1023105820 is an abundant number, since it is smaller than the sum of its proper divisors (1346475380).

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

1023105820 is a wasteful number, since it uses less digits than its factorization.

1023105820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1023105820 is about 31986.0253860963. The cubic root of 1023105820 is about 1007.6433700496.

The spelling of 1023105820 in words is "one billion, twenty-three million, one hundred five thousand, eight hundred twenty".