106117984 has 24 divisors (see below), whose sum is σ = 238765968. Its totient is φ = 45479040.

The previous prime is 106117981. The next prime is 106117997. The reversal of 106117984 is 489711601.

It is a super-2 number, since 2×106117984² = 22522053056448512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106117981) 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 3 ways as a sum of consecutive naturals, for example, 236647 + ... + 237094.

It is an arithmetic number, because the mean of its divisors is an integer number (9948582).

Almost surely, 2^106117984 is an apocalyptic number.

106117984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106117984 is an abundant number, since it is smaller than the sum of its proper divisors (132647984).

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

106117984 is an equidigital number, since it uses as much as digits as its factorization.

106117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473758 (or 473750 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 106117984 is about 10301.3583570323. The cubic root of 106117984 is about 473.4378732707.

The spelling of 106117984 in words is "one hundred six million, one hundred seventeen thousand, nine hundred eighty-four".