106826640 has 80 divisors (see below), whose sum is σ = 350656128. Its totient is φ = 26810368.

The previous prime is 106826627. The next prime is 106826669. The reversal of 106826640 is 46628601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106826640² = 22823862027379200, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9012 + ... + 17171.

Almost surely, 2^106826640 is an apocalyptic number.

106826640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106826640 is an abundant number, since it is smaller than the sum of its proper divisors (243829488).

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

106826640 is a wasteful number, since it uses less digits than its factorization.

106826640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26216 (or 26210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 106826640 is about 10335.6973639905. The cubic root of 106826640 is about 474.4894088730.

The spelling of 106826640 in words is "one hundred six million, eight hundred twenty-six thousand, six hundred forty".