106561332 has 72 divisors (see below), whose sum is σ = 286986336. Its totient is φ = 34548768.

The previous prime is 106561331. The next prime is 106561349. The reversal of 106561332 is 233165601.

106561332 is a `hidden beast` number, since 1 + 0 + 656 + 1 + 3 + 3 + 2 = 666.

It is a super-2 number, since 2×106561332² = 22710634955228448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106561296 and 106561305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106561331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34483 + ... + 37445.

Almost surely, 2^106561332 is an apocalyptic number.

106561332 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 106561332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143493168).

106561332 is an abundant number, since it is smaller than the sum of its proper divisors (180425004).

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

106561332 is a wasteful number, since it uses less digits than its factorization.

106561332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106561332 is about 10322.8548376890. The cubic root of 106561332 is about 474.0962791125.

The spelling of 106561332 in words is "one hundred six million, five hundred sixty-one thousand, three hundred thirty-two".