112405416 has 64 divisors (see below), whose sum is σ = 294710400. Its totient is φ = 35659008.

The previous prime is 112405409. The next prime is 112405427. The reversal of 112405416 is 614504211.

It is a happy number.

It is a super-2 number, since 2×112405416² = 25269955092266112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148110 + ... + 148866.

It is an arithmetic number, because the mean of its divisors is an integer number (4604850).

Almost surely, 2^112405416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112405416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147355200).

112405416 is an abundant number, since it is smaller than the sum of its proper divisors (182304984).

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

112405416 is a wasteful number, since it uses less digits than its factorization.

112405416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 112405416 is about 10602.1420477185. The cubic root of 112405416 is about 482.6093657070.

Adding to 112405416 its reverse (614504211), we get a palindrome (726909627).

The spelling of 112405416 in words is "one hundred twelve million, four hundred five thousand, four hundred sixteen".