104117112 has 288 divisors, whose sum is σ = 354790800. Its totient is φ = 27371520.

The previous prime is 104117107. The next prime is 104117119. The reversal of 104117112 is 211711401.

It is a super-2 number, since 2×104117112² = 21680746022441088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104117119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2813958 + ... + 2813994.

Almost surely, 2^104117112 is an apocalyptic number.

104117112 is a gapful number since it is divisible by the number (12) 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 104117112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395400).

104117112 is an abundant number, since it is smaller than the sum of its proper divisors (250673688).

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

104117112 is a wasteful number, since it uses less digits than its factorization.

104117112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 104117112 is about 10203.7792998477. The cubic root of 104117112 is about 470.4433902430.

Adding to 104117112 its reverse (211711401), we get a palindrome (315828513).

The spelling of 104117112 in words is "one hundred four million, one hundred seventeen thousand, one hundred twelve".