106532352 has 120 divisors (see below), whose sum is σ = 313324440. Its totient is φ = 34836480.

The previous prime is 106532323. The next prime is 106532357. The reversal of 106532352 is 253235601.

106532352 is a `hidden beast` number, since 1 + 0 + 653 + 2 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×106532352² = 22698284045303808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106532357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280899 + ... + 281277.

It is an arithmetic number, because the mean of its divisors is an integer number (2611037).

Almost surely, 2^106532352 is an apocalyptic number.

106532352 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 106532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156662220).

106532352 is an abundant number, since it is smaller than the sum of its proper divisors (206792088).

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

106532352 is an equidigital number, since it uses as much as digits as its factorization.

106532352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 106532352 is about 10321.4510607763. The cubic root of 106532352 is about 474.0532974305.

Adding to 106532352 its reverse (253235601), we get a palindrome (359767953).

The spelling of 106532352 in words is "one hundred six million, five hundred thirty-two thousand, three hundred fifty-two".