106632000 has 168 divisors, whose sum is σ = 381697992. Its totient is φ = 28416000.

The previous prime is 106631983. The next prime is 106632011. The reversal of 106632000 is 236601.

It is a happy number.

106632000 is a `hidden beast` number, since 1 + 0 + 663 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 100160064 = 2544^2 + 10008^2 .

It is a super-2 number, since 2×106632000² = 22740766848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71260 + ... + 72740.

Almost surely, 2^106632000 is an apocalyptic number.

106632000 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 106632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190848996).

106632000 is an abundant number, since it is smaller than the sum of its proper divisors (275065992).

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

106632000 is a wasteful number, since it uses less digits than its factorization.

106632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106632000 is about 10326.2771607196. The cubic root of 106632000 is about 474.2010576841.

Adding to 106632000 its reverse (236601), we get a palindrome (106868601).

The spelling of 106632000 in words is "one hundred six million, six hundred thirty-two thousand".