106186752 has 144 divisors (see below), whose sum is σ = 350925120. Its totient is φ = 30302208.

The previous prime is 106186739. The next prime is 106186753. The reversal of 106186752 is 257681601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106186752² = 22551252600619008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106186753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128613 + ... + 129435.

It is an arithmetic number, because the mean of its divisors is an integer number (2436980).

Almost surely, 2^106186752 is an apocalyptic number.

106186752 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 106186752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175462560).

106186752 is an abundant number, since it is smaller than the sum of its proper divisors (244738368).

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

106186752 is an equidigital number, since it uses as much as digits as its factorization.

106186752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 106186752 is about 10304.6956286928. The cubic root of 106186752 is about 473.5401190422.

The spelling of 106186752 in words is "one hundred six million, one hundred eighty-six thousand, seven hundred fifty-two".