106639360 has 104 divisors (see below), whose sum is σ = 264208896. Its totient is φ = 41287680.

The previous prime is 106639333. The next prime is 106639363. The reversal of 106639360 is 63936601.

It is a happy number.

It is a super-4 number, since 4×106639360⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106639363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839617 + ... + 839743.

Almost surely, 2^106639360 is an apocalyptic number.

106639360 is a gapful number since it is divisible by the number (10) 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 106639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132104448).

106639360 is an abundant number, since it is smaller than the sum of its proper divisors (157569536).

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

106639360 is an equidigital number, since it uses as much as digits as its factorization.

106639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 106639360 is about 10326.6335269535. The cubic root of 106639360 is about 474.2119676032.

The spelling of 106639360 in words is "one hundred six million, six hundred thirty-nine thousand, three hundred sixty".