106677920 has 24 divisors (see below), whose sum is σ = 252026964. Its totient is φ = 42671104.

The previous prime is 106677881. The next prime is 106677929. The reversal of 106677920 is 29776601.

It can be written as a sum of positive squares in 2 ways, for example, as 106419856 + 258064 = 10316^2 + 508^2 .

It is a super-2 number, since 2×106677920² = 22760357231052800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106677929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333209 + ... + 333528.

Almost surely, 2^106677920 is an apocalyptic number.

106677920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106677920 is an abundant number, since it is smaller than the sum of its proper divisors (145349044).

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

106677920 is an equidigital number, since it uses as much as digits as its factorization.

106677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666752 (or 666744 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 106677920 is about 10328.5003751755. The cubic root of 106677920 is about 474.2691178897.

The spelling of 106677920 in words is "one hundred six million, six hundred seventy-seven thousand, nine hundred twenty".