1117080100 has 72 divisors (see below), whose sum is σ = 2537337600. Its totient is φ = 426074880.

The previous prime is 1117080037. The next prime is 1117080103. The reversal of 1117080100 is 10807111.

It is not an unprimeable number, because it can be changed into a prime (1117080103) 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 23 ways as a sum of consecutive naturals, for example, 1064376 + ... + 1065424.

It is an arithmetic number, because the mean of its divisors is an integer number (35240800).

Almost surely, 2^1117080100 is an apocalyptic number.

1117080100 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 1117080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268668800).

1117080100 is an abundant number, since it is smaller than the sum of its proper divisors (1420257500).

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

1117080100 is a wasteful number, since it uses less digits than its factorization.

1117080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 19.

The square root of 1117080100 is about 33422.7482412802. The cubic root of 1117080100 is about 1037.5955609468.

Adding to 1117080100 its reverse (10807111), we get a palindrome (1127887211).

The spelling of 1117080100 in words is "one billion, one hundred seventeen million, eighty thousand, one hundred".