106839984 has 20 divisors (see below), whose sum is σ = 276003416. Its totient is φ = 35613312.

The previous prime is 106839959. The next prime is 106839989. The reversal of 106839984 is 489938601.

It is a super-2 number, since 2×106839984² = 22829564362240512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2225833 = 106839984 / (1 + 0 + 6 + 8 + 3 + 9 + 9 + 8 + 4).

It is not an unprimeable number, because it can be changed into a prime (106839989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112869 + ... + 1112964.

Almost surely, 2^106839984 is an apocalyptic number.

It is an amenable number.

106839984 is an abundant number, since it is smaller than the sum of its proper divisors (169163432).

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

106839984 is a wasteful number, since it uses less digits than its factorization.

106839984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225844 (or 2225838 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 106839984 is about 10336.3428735699. The cubic root of 106839984 is about 474.5091646289.

The spelling of 106839984 in words is "one hundred six million, eight hundred thirty-nine thousand, nine hundred eighty-four".