106632960 has 144 divisors (see below), whose sum is σ = 389308416. Its totient is φ = 24367104.

The previous prime is 106632949. The next prime is 106632961. The reversal of 106632960 is 69236601.

It is a happy number.

It is a super-2 number, since 2×106632960² = 22741176316723200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106632961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24897 + ... + 28863.

Almost surely, 2^106632960 is an apocalyptic number.

106632960 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 106632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194654208).

106632960 is an abundant number, since it is smaller than the sum of its proper divisors (282675456).

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

106632960 is an equidigital number, since it uses as much as digits as its factorization.

106632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 106632960 is about 10326.3236439693. The cubic root of 106632960 is about 474.2024807455.

The spelling of 106632960 in words is "one hundred six million, six hundred thirty-two thousand, nine hundred sixty".