106973984 has 48 divisors (see below), whose sum is σ = 228582648. Its totient is φ = 48986112.

The previous prime is 106973957. The next prime is 106974001. The reversal of 106973984 is 489379601.

It can be written as a sum of positive squares in 4 ways, for example, as 84125584 + 22848400 = 9172^2 + 4780^2 .

It is a super-2 number, since 2×106973984² = 22886866505664512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56054 + ... + 57930.

Almost surely, 2^106973984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114291324).

106973984 is an abundant number, since it is smaller than the sum of its proper divisors (121608664).

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

106973984 is a wasteful number, since it uses less digits than its factorization.

106973984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 106973984 is about 10342.8228255153. The cubic root of 106973984 is about 474.7074601280.

The spelling of 106973984 in words is "one hundred six million, nine hundred seventy-three thousand, nine hundred eighty-four".