106735968 has 60 divisors (see below), whose sum is σ = 313915140. Its totient is φ = 35577792.

The previous prime is 106735963. The next prime is 106735969. The reversal of 106735968 is 869537601.

It is a happy number.

It is a super-2 number, since 2×106735968² = 22785133729794048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106735963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17998 + ... + 23181.

It is an arithmetic number, because the mean of its divisors is an integer number (5231919).

Almost surely, 2^106735968 is an apocalyptic number.

106735968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106735968 is an abundant number, since it is smaller than the sum of its proper divisors (207179172).

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

106735968 is an equidigital number, since it uses as much as digits as its factorization.

106735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41201 (or 41184 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106735968 is about 10331.3100814950. The cubic root of 106735968 is about 474.3551256339.

It can be divided in two parts, 10673 and 5968, that added together give a square (16641 = 129²).

The spelling of 106735968 in words is "one hundred six million, seven hundred thirty-five thousand, nine hundred sixty-eight".