1106100 has 54 divisors (see below), whose sum is σ = 3469830. Its totient is φ = 294720.

The previous prime is 1106099. The next prime is 1106101. The reversal of 1106100 is 16011.

It is an interprime number because it is at equal distance from previous prime (1106099) and next prime (1106101).

It can be written as a sum of positive squares in 3 ways, for example, as 338724 + 767376 = 582^2 + 876^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 286 + ... + 1514.

2^1106100 is an apocalyptic number.

1106100 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 1106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734915).

1106100 is an abundant number, since it is smaller than the sum of its proper divisors (2363730).

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

1106100 is a wasteful number, since it uses less digits than its factorization.

1106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1106100 is about 1051.7128885775. The cubic root of 1106100 is about 103.4184753242.

The spelling of 1106100 in words is "one million, one hundred six thousand, one hundred".