1100780100 has 324 divisors, whose sum is σ = 4068164100. Its totient is φ = 248209920.

The previous prime is 1100780077. The next prime is 1100780101. The reversal of 1100780100 is 10870011.

It can be written as a sum of positive squares in 6 ways, for example, as 52186176 + 1048593924 = 7224^2 + 32382^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1100780101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4806786 + ... + 4807014.

Almost surely, 2^1100780100 is an apocalyptic number.

1100780100 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 1100780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034082050).

1100780100 is an abundant number, since it is smaller than the sum of its proper divisors (2967384000).

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

1100780100 is a wasteful number, since it uses less digits than its factorization.

1100780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1100780100 is about 33178.0062692139. The cubic root of 1100780100 is about 1032.5240825562.

The spelling of 1100780100 in words is "one billion, one hundred million, seven hundred eighty thousand, one hundred".