106626880 has 28 divisors (see below), whose sum is σ = 253906020. Its totient is φ = 42650624.

The previous prime is 106626869. The next prime is 106626889. The reversal of 106626880 is 88626601.

It can be written as a sum of positive squares in 2 ways, for example, as 24760576 + 81866304 = 4976^2 + 9048^2 .

It is a super-2 number, since 2×106626880² = 22738583077068800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106626889) 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, 166285 + ... + 166924.

Almost surely, 2^106626880 is an apocalyptic number.

106626880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106626880 is an abundant number, since it is smaller than the sum of its proper divisors (147279140).

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

106626880 is an equidigital number, since it uses as much as digits as its factorization.

106626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333226 (or 333216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 106626880 is about 10326.0292465207. The cubic root of 106626880 is about 474.1934678790.

The spelling of 106626880 in words is "one hundred six million, six hundred twenty-six thousand, eight hundred eighty".