111690 has 48 divisors (see below), whose sum is σ = 311688. Its totient is φ = 27648.

The previous prime is 111667. The next prime is 111697. The reversal of 111690 is 96111.

It can be written as a sum of positive squares in 4 ways, for example, as 103041 + 8649 = 321^2 + 93^2 .

It is a super-2 number, since 2×111690² = 24949312200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111697) by changing a digit.

111690 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1494 + ... + 1566.

2¹¹¹⁶⁹⁰ is an apocalyptic number.

111690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155844).

111690 is an abundant number, since it is smaller than the sum of its proper divisors (199998).

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

111690 is a wasteful number, since it uses less digits than its factorization.

111690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 111690 is about 334.2005385992. The cubic root of 111690 is about 48.1583313256.

The spelling of 111690 in words is "one hundred eleven thousand, six hundred ninety".