106826880 has 64 divisors (see below), whose sum is σ = 340516800. Its totient is φ = 28486656.

The previous prime is 106826869. The next prime is 106826903. The reversal of 106826880 is 88628601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106826880² = 22823964581068800, which contains 22 as substring.

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, 25900 + ... + 29739.

It is an arithmetic number, because the mean of its divisors is an integer number (5320575).

Almost surely, 2^106826880 is an apocalyptic number.

106826880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106826880 is an abundant number, since it is smaller than the sum of its proper divisors (233689920).

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

106826880 is an equidigital number, since it uses as much as digits as its factorization.

106826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55661 (or 55649 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 106826880 is about 10335.7089742310. The cubic root of 106826880 is about 474.4897642069.

The spelling of 106826880 in words is "one hundred six million, eight hundred twenty-six thousand, eight hundred eighty".