106584153 has 16 divisors (see below), whose sum is σ = 153229440. Its totient is φ = 65510784.

The previous prime is 106584151. The next prime is 106584187. The reversal of 106584153 is 351485601.

It is not a de Polignac number, because 106584153 - 2¹ = 106584151 is a prime.

It is a super-2 number, since 2×106584153² = 22720363341454818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106584151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59925 + ... + 61677.

It is an arithmetic number, because the mean of its divisors is an integer number (9576840).

Almost surely, 2^106584153 is an apocalyptic number.

106584153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106584153 is a deficient number, since it is larger than the sum of its proper divisors (46645287).

106584153 is a wasteful number, since it uses less digits than its factorization.

106584153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 106584153 is about 10323.9601413411. The cubic root of 106584153 is about 474.1301205905.

The spelling of 106584153 in words is "one hundred six million, five hundred eighty-four thousand, one hundred fifty-three".