112164104 has 32 divisors (see below), whose sum is σ = 228144000. Its totient is φ = 51388992.

The previous prime is 112164089. The next prime is 112164109. The reversal of 112164104 is 401461211.

It is a super-3 number, since 3×112164104³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (112164109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10577 + ... + 18335.

It is an arithmetic number, because the mean of its divisors is an integer number (7129500).

Almost surely, 2^112164104 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 112164104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114072000).

112164104 is an abundant number, since it is smaller than the sum of its proper divisors (115979896).

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

112164104 is a wasteful number, since it uses less digits than its factorization.

112164104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 112164104 is about 10590.7555915525. The cubic root of 112164104 is about 482.2637629376.

The spelling of 112164104 in words is "one hundred twelve million, one hundred sixty-four thousand, one hundred four".