107646 has 32 divisors (see below), whose sum is σ = 269568. Its totient is φ = 27840.

The previous prime is 107641. The next prime is 107647. The reversal of 107646 is 646701.

It is a super-2 number, since 2×107646² = 23175322632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2¹⁰⁷⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784).

107646 is an abundant number, since it is smaller than the sum of its proper divisors (161922).

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

107646 is a wasteful number, since it uses less digits than its factorization.

107646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 107646 is about 328.0944985823. The cubic root of 107646 is about 47.5699431272.

The spelling of 107646 in words is "one hundred seven thousand, six hundred forty-six".