111742416 has 100 divisors (see below), whose sum is σ = 326126944. Its totient is φ = 36936000.

The previous prime is 111742409. The next prime is 111742417. The reversal of 111742416 is 614247111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 111742416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111742417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195411 + ... + 195981.

Almost surely, 2^111742416 is an apocalyptic number.

111742416 is a gapful number since it is divisible by the number (16) 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 111742416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163063472).

111742416 is an abundant number, since it is smaller than the sum of its proper divisors (214384528).

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

111742416 is a wasteful number, since it uses less digits than its factorization.

111742416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 727 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 111742416 is about 10570.8285389557. The cubic root of 111742416 is about 481.6586369887.

Adding to 111742416 its reverse (614247111), we get a palindrome (725989527).

The spelling of 111742416 in words is "one hundred eleven million, seven hundred forty-two thousand, four hundred sixteen".