106212584 has 32 divisors (see below), whose sum is σ = 210600000. Its totient is φ = 50078592.

The previous prime is 106212581. The next prime is 106212599. The reversal of 106212584 is 485212601.

It is a super-2 number, since 2×106212584² = 22562225999914112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106212581) 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 7 ways as a sum of consecutive naturals, for example, 33917 + ... + 36915.

It is an arithmetic number, because the mean of its divisors is an integer number (6581250).

Almost surely, 2^106212584 is an apocalyptic number.

It is an amenable number.

106212584 is a deficient number, since it is larger than the sum of its proper divisors (104387416).

106212584 is a wasteful number, since it uses less digits than its factorization.

106212584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 106212584 is about 10305.9489616435. The cubic root of 106212584 is about 473.5785152210.

The spelling of 106212584 in words is "one hundred six million, two hundred twelve thousand, five hundred eighty-four".