108361332 has 72 divisors (see below), whose sum is σ = 305323200. Its totient is φ = 32203008.

The previous prime is 108361321. The next prime is 108361387. The reversal of 108361332 is 233163801.

It is a happy number.

108361332 is a `hidden beast` number, since 10 + 8 + 3 + 613 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 108361296 and 108361305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6969 + ... + 16287.

It is an arithmetic number, because the mean of its divisors is an integer number (4240600).

Almost surely, 2^108361332 is an apocalyptic number.

108361332 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 108361332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152661600).

108361332 is an abundant number, since it is smaller than the sum of its proper divisors (196961868).

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

108361332 is a wasteful number, since it uses less digits than its factorization.

108361332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 108361332 is about 10409.6749228782. The cubic root of 108361332 is about 476.7508158825.

The spelling of 108361332 in words is "one hundred eight million, three hundred sixty-one thousand, three hundred thirty-two".