1166111100 has 576 divisors, whose sum is σ = 4799692800. Its totient is φ = 235872000.

The previous prime is 1166111087. The next prime is 1166111119. The reversal of 1166111100 is 11116611.

1166111100 is a `hidden beast` number, since 1 + 1 + 661 + 1 + 1 + 1 + 0 + 0 = 666.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14760861 + ... + 14760939.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2^1166111100 is an apocalyptic number.

1166111100 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 1166111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399846400).

1166111100 is an abundant number, since it is smaller than the sum of its proper divisors (3633581700).

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

1166111100 is a wasteful number, since it uses less digits than its factorization.

1166111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1166111100 is about 34148.3689215166. The cubic root of 1166111100 is about 1052.5594702753.

Adding to 1166111100 its reverse (11116611), we get a palindrome (1177227711).

It can be divided in two parts, 116611 and 1100, that added together give a palindrome (117711).

The spelling of 1166111100 in words is "one billion, one hundred sixty-six million, one hundred eleven thousand, one hundred".