107618112 has 336 divisors, whose sum is σ = 389168640. Its totient is φ = 29030400.

The previous prime is 107618107. The next prime is 107618117. The reversal of 107618112 is 211816701.

It is an interprime number because it is at equal distance from previous prime (107618107) and next prime (107618117).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107618117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624812 + ... + 2624852.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^107618112 is an apocalyptic number.

107618112 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 107618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

107618112 is an abundant number, since it is smaller than the sum of its proper divisors (281550528).

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

107618112 is a wasteful number, since it uses less digits than its factorization.

107618112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 107618112 is about 10373.9149794087. The cubic root of 107618112 is about 475.6583476842.

The spelling of 107618112 in words is "one hundred seven million, six hundred eighteen thousand, one hundred twelve".