107712 has 84 divisors (see below), whose sum is σ = 356616. Its totient is φ = 30720.

The previous prime is 107699. The next prime is 107713. The reversal of 107712 is 217701.

107712 = T₂₃ + T₂₄ + ... + T₈₆.

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

It is not an unprimeable number, because it can be changed into a prime (107713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6328 + ... + 6344.

2¹⁰⁷⁷¹² is an apocalyptic number.

107712 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 107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308).

107712 is an abundant number, since it is smaller than the sum of its proper divisors (248904).

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

107712 is a wasteful number, since it uses less digits than its factorization.

107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 107712 is about 328.1950639483. The cubic root of 107712 is about 47.5796631812.

It can be divided in two parts, 1077 and 12, that added together give a square (1089 = 33²).

The spelling of 107712 in words is "one hundred seven thousand, seven hundred twelve", and thus it is an iban number.