106913760 has 144 divisors (see below), whose sum is σ = 356012496. Its totient is φ = 26966016.

The previous prime is 106913759. The next prime is 106913771. The reversal of 106913760 is 67319601.

It is a super-2 number, since 2×106913760² = 22861104154675200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172972 + ... + 173588.

It is an arithmetic number, because the mean of its divisors is an integer number (2472309).

Almost surely, 2^106913760 is an apocalyptic number.

106913760 is a gapful number since it is divisible by the number (10) 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 106913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178006248).

106913760 is an abundant number, since it is smaller than the sum of its proper divisors (249098736).

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

106913760 is a wasteful number, since it uses less digits than its factorization.

106913760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 106913760 is about 10339.9110247623. The cubic root of 106913760 is about 474.6183601193.

The spelling of 106913760 in words is "one hundred six million, nine hundred thirteen thousand, seven hundred sixty".