106184064 has 64 divisors (see below), whose sum is σ = 322352640. Its totient is φ = 30337536.

The previous prime is 106184063. The next prime is 106184087. The reversal of 106184064 is 460481601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106184064² = 22550110895112192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106184063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17064 + ... + 22439.

It is an arithmetic number, because the mean of its divisors is an integer number (5036760).

Almost surely, 2^106184064 is an apocalyptic number.

106184064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106184064 is an abundant number, since it is smaller than the sum of its proper divisors (216168576).

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

106184064 is an equidigital number, since it uses as much as digits as its factorization.

106184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39527 (or 39515 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106184064 is about 10304.5652018899. The cubic root of 106184064 is about 473.5361232940.

The spelling of 106184064 in words is "one hundred six million, one hundred eighty-four thousand, sixty-four".