106886080 has 56 divisors (see below), whose sum is σ = 290888928. Its totient is φ = 36645888.

The previous prime is 106886051. The next prime is 106886119. The reversal of 106886080 is 80688601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106886080² = 22849268195532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21619 + ... + 26098.

Almost surely, 2^106886080 is an apocalyptic number.

106886080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106886080 is an abundant number, since it is smaller than the sum of its proper divisors (184002848).

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

106886080 is an equidigital number, since it uses as much as digits as its factorization.

106886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47741 (or 47731 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 106886080 is about 10338.5724353027. The cubic root of 106886080 is about 474.5773969788.

The spelling of 106886080 in words is "one hundred six million, eight hundred eighty-six thousand, eighty".