1205320100 has 72 divisors (see below), whose sum is σ = 2817423840. Its totient is φ = 446100480.

The previous prime is 1205320079. The next prime is 1205320133. The reversal of 1205320100 is 10235021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74324 + ... + 89076.

Almost surely, 2^1205320100 is an apocalyptic number.

1205320100 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 1205320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408711920).

1205320100 is an abundant number, since it is smaller than the sum of its proper divisors (1612103740).

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

1205320100 is a wasteful number, since it uses less digits than its factorization.

1205320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14829 (or 14822 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1205320100 is about 34717.7202592567. The cubic root of 1205320100 is about 1064.2266568691.

Adding to 1205320100 its reverse (10235021), we get a palindrome (1215555121).

The spelling of 1205320100 in words is "one billion, two hundred five million, three hundred twenty thousand, one hundred".