1166100 has 108 divisors (see below), whose sum is σ = 3812256. Its totient is φ = 274560.

The previous prime is 1166093. The next prime is 1166101. The reversal of 1166100 is 16611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1166100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50689 + ... + 50711.

2^1166100 is an apocalyptic number.

1166100 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 1166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906128).

1166100 is an abundant number, since it is smaller than the sum of its proper divisors (2646156).

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

1166100 is a wasteful number, since it uses less digits than its factorization.

1166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1166100 is about 1079.8611021793. The cubic root of 1166100 is about 105.2556130557.

It can be divided in two parts, 116 and 6100, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 1166100 in words is "one million, one hundred sixty-six thousand, one hundred".