111930 has 64 divisors (see below), whose sum is σ = 338688. Its totient is φ = 23040.

The previous prime is 111919. The next prime is 111949. The reversal of 111930 is 39111.

111930 is a nontrivial binomial coefficient, being equal to C(42, 4).

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

It is a nialpdrome in base 6 and base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2710 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2¹¹¹⁹³⁰ is an apocalyptic number.

111930 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 111930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

111930 is an abundant number, since it is smaller than the sum of its proper divisors (226758).

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

111930 is a wasteful number, since it uses less digits than its factorization.

111930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 111930 is about 334.5594117642. The cubic root of 111930 is about 48.1928009312.

The spelling of 111930 in words is "one hundred eleven thousand, nine hundred thirty".