106368984 has 64 divisors (see below), whose sum is σ = 305676000. Its totient is φ = 34231680.

The previous prime is 106368979. The next prime is 106368989. The reversal of 106368984 is 489863601.

106368984 is a `hidden beast` number, since 1 + 0 + 636 + 8 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106368979) and next prime (106368989).

It is a super-2 number, since 2×106368984² = 22628721514384512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106368989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227 + ... + 14754.

Almost surely, 2^106368984 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 106368984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152838000).

106368984 is an abundant number, since it is smaller than the sum of its proper divisors (199307016).

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

106368984 is a wasteful number, since it uses less digits than its factorization.

106368984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025 (or 17015 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106368984 is about 10313.5340208873. The cubic root of 106368984 is about 473.8108522674.

The spelling of 106368984 in words is "one hundred six million, three hundred sixty-eight thousand, nine hundred eighty-four".