106717968 has 60 divisors (see below), whose sum is σ = 341331328. Its totient is φ = 30490560.

The previous prime is 106717951. The next prime is 106717969. The reversal of 106717968 is 869717601.

It is a super-2 number, since 2×106717968² = 22777449388098048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106717969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51928 + ... + 53943.

Almost surely, 2^106717968 is an apocalyptic number.

106717968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106717968 is an abundant number, since it is smaller than the sum of its proper divisors (234613360).

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

106717968 is a wasteful number, since it uses less digits than its factorization.

106717968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105892 (or 105883 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 106717968 is about 10330.4389064550. The cubic root of 106717968 is about 474.3284589834.

The spelling of 106717968 in words is "one hundred six million, seven hundred seventeen thousand, nine hundred sixty-eight".