106918880 has 24 divisors (see below), whose sum is σ = 252596232. Its totient is φ = 42767488.

The previous prime is 106918859. The next prime is 106918883. The reversal of 106918880 is 88819601.

It is a super-2 number, since 2×106918880² = 22863293800908800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106918883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333962 + ... + 334281.

It is an arithmetic number, because the mean of its divisors is an integer number (10524843).

Almost surely, 2^106918880 is an apocalyptic number.

106918880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106918880 is an abundant number, since it is smaller than the sum of its proper divisors (145677352).

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

106918880 is an equidigital number, since it uses as much as digits as its factorization.

106918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668258 (or 668250 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 106918880 is about 10340.1586061337. The cubic root of 106918880 is about 474.6259363415.

The spelling of 106918880 in words is "one hundred six million, nine hundred eighteen thousand, eight hundred eighty".