106582752 has 72 divisors (see below), whose sum is σ = 306122544. Its totient is φ = 35172864.

The previous prime is 106582717. The next prime is 106582753. The reversal of 106582752 is 257285601.

It is a happy number.

106582752 is a `hidden beast` number, since 1 + 0 + 6 + 582 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106582752² = 22719766047787008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106582753) 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, 27868 + ... + 31460.

It is an arithmetic number, because the mean of its divisors is an integer number (4251702).

Almost surely, 2^106582752 is an apocalyptic number.

106582752 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 106582752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153061272).

106582752 is an abundant number, since it is smaller than the sum of its proper divisors (199539792).

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

106582752 is a wasteful number, since it uses less digits than its factorization.

106582752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 106582752 is about 10323.8922892483. The cubic root of 106582752 is about 474.1280431735.

The spelling of 106582752 in words is "one hundred six million, five hundred eighty-two thousand, seven hundred fifty-two".