107536 has 40 divisors (see below), whose sum is σ = 249984. Its totient is φ = 44160.

The previous prime is 107509. The next prime is 107563. The reversal of 107536 is 635701.

It is an interprime number because it is at equal distance from previous prime (107509) and next prime (107563).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265 + ... + 2311.

2¹⁰⁷⁵³⁶ is an apocalyptic number.

107536 is a gapful number since it is divisible by the number (16) 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 107536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

107536 is an abundant number, since it is smaller than the sum of its proper divisors (142448).

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

107536 is a wasteful number, since it uses less digits than its factorization.

107536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 107536 is about 327.9268211050. The cubic root of 107536 is about 47.5537342043.

It can be divided in two parts, 1075 and 36, that added together give a palindrome (1111).

The spelling of 107536 in words is "one hundred seven thousand, five hundred thirty-six".