1080872100 has 360 divisors, whose sum is σ = 4370845248. Its totient is φ = 224467200.

The previous prime is 1080872099. The next prime is 1080872119. The reversal of 1080872100 is 12780801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 622834 + ... + 624566.

Almost surely, 2^1080872100 is an apocalyptic number.

1080872100 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 1080872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185422624).

1080872100 is an abundant number, since it is smaller than the sum of its proper divisors (3289973148).

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

1080872100 is a wasteful number, since it uses less digits than its factorization.

1080872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1080872100 is about 32876.6193517521. The cubic root of 1080872100 is about 1026.2616548214.

The spelling of 1080872100 in words is "one billion, eighty million, eight hundred seventy-two thousand, one hundred".