106438784 has 16 divisors (see below), whose sum is σ = 212046270. Its totient is φ = 53219328.

The previous prime is 106438781. The next prime is 106438793. The reversal of 106438784 is 487834601.

It can be written as a sum of positive squares in only one way, i.e., 105678400 + 760384 = 10280^2 + 872^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×106438784² = 22658429478797312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106438781) 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 as a sum of consecutive naturals, namely, 415649 + ... + 415904.

Almost surely, 2^106438784 is an apocalyptic number.

It is an amenable number.

106438784 is a deficient number, since it is larger than the sum of its proper divisors (105607486).

106438784 is an frugal number, since it uses more digits than its factorization.

106438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831567 (or 831555 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 106438784 is about 10316.9173690594. The cubic root of 106438784 is about 473.9144688320.

The spelling of 106438784 in words is "one hundred six million, four hundred thirty-eight thousand, seven hundred eighty-four".