106493184 has 288 divisors, whose sum is σ = 376750080. Its totient is φ = 29030400.

The previous prime is 106493173. The next prime is 106493207. The reversal of 106493184 is 481394601.

106493184 is a `hidden beast` number, since 1 + 0 + 649 + 3 + 1 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106493184² = 22681596476915712, 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 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 31 ways as a sum of consecutive naturals, for example, 1499869 + ... + 1499939.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 2^106493184 is an apocalyptic number.

106493184 is a gapful number since it is divisible by the number (14) 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 106493184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375040).

106493184 is an abundant number, since it is smaller than the sum of its proper divisors (270256896).

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

106493184 is an equidigital number, since it uses as much as digits as its factorization.

106493184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106493184 is about 10319.5534787121. The cubic root of 106493184 is about 473.9951930293.

The spelling of 106493184 in words is "one hundred six million, four hundred ninety-three thousand, one hundred eighty-four".