105907968 has 108 divisors (see below), whose sum is σ = 312752440. Its totient is φ = 34449408.

The previous prime is 105907951. The next prime is 105907969. The reversal of 105907968 is 869709501.

It is a super-2 number, since 2×105907968² = 22432995371778048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105907969) 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 11 ways as a sum of consecutive naturals, for example, 98538 + ... + 99606.

Almost surely, 2^105907968 is an apocalyptic number.

105907968 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 105907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156376220).

105907968 is an abundant number, since it is smaller than the sum of its proper divisors (206844472).

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

105907968 is a wasteful number, since it uses less digits than its factorization.

105907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 105907968 is about 10291.1597014136. The cubic root of 105907968 is about 473.1253431670.

The spelling of 105907968 in words is "one hundred five million, nine hundred seven thousand, nine hundred sixty-eight".