1020320100 has 54 divisors (see below), whose sum is σ = 3198139490. Its totient is φ = 272085120.

The previous prime is 1020320071. The next prime is 1020320101. The reversal of 1020320100 is 10230201.

It is a happy number.

1020320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2965284 + 1017354816 = 1722^2 + 31896^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020320101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 565945 + ... + 567744.

Almost surely, 2^1020320100 is an apocalyptic number.

1020320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020320100 is an abundant number, since it is smaller than the sum of its proper divisors (2177819390).

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

1020320100 is a wasteful number, since it uses less digits than its factorization.

1020320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133709 (or 1133699 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1020320100 is about 31942.4498121231. The cubic root of 1020320100 is about 1006.7279991773.

Adding to 1020320100 its reverse (10230201), we get a palindrome (1030550301).

It can be divided in two parts, 10203 and 20100, that added together give a palindrome (30303).

The spelling of 1020320100 in words is "one billion, twenty million, three hundred twenty thousand, one hundred".