105697984 has 56 divisors (see below), whose sum is σ = 243157248. Its totient is φ = 44647680.

The previous prime is 105697957. The next prime is 105697997. The reversal of 105697984 is 489796501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105697984² = 22344127643328512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30147 + ... + 33469.

Almost surely, 2^105697984 is an apocalyptic number.

105697984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121578624).

105697984 is an abundant number, since it is smaller than the sum of its proper divisors (137459264).

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

105697984 is an equidigital number, since it uses as much as digits as its factorization.

105697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 105697984 is about 10280.9524850570. The cubic root of 105697984 is about 472.8124473386.

The spelling of 105697984 in words is "one hundred five million, six hundred ninety-seven thousand, nine hundred eighty-four".