105988608 has 320 divisors, whose sum is σ = 371226240. Its totient is φ = 29491200.

The previous prime is 105988607. The next prime is 105988621. The reversal of 105988608 is 806889501.

It is a super-2 number, since 2×105988608² = 22467170051555328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105988601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585068 + ... + 2585108.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^105988608 is an apocalyptic number.

105988608 is a gapful number since it is divisible by the number (18) 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 105988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

105988608 is an abundant number, since it is smaller than the sum of its proper divisors (265237632).

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

105988608 is a wasteful number, since it uses less digits than its factorization.

105988608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 105988608 is about 10295.0768816945. The cubic root of 105988608 is about 473.2453944062.

The spelling of 105988608 in words is "one hundred five million, nine hundred eighty-eight thousand, six hundred eight".