1321460100 has 108 divisors (see below), whose sum is σ = 4185021204. Its totient is φ = 348733440.

The previous prime is 1321460087. The next prime is 1321460137. The reversal of 1321460100 is 10641231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17239104 + 1304220996 = 4152^2 + 36114^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79732 + ... + 94868.

Almost surely, 2^1321460100 is an apocalyptic number.

1321460100 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 1321460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092510602).

1321460100 is an abundant number, since it is smaller than the sum of its proper divisors (2863561104).

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

1321460100 is a wasteful number, since it uses less digits than its factorization.

1321460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15254 (or 15244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1321460100 is about 36351.8926604929. The cubic root of 1321460100 is about 1097.3656243794.

The spelling of 1321460100 in words is "one billion, three hundred twenty-one million, four hundred sixty thousand, one hundred".