106826500 has 48 divisors (see below), whose sum is σ = 254532096. Its totient is φ = 38844000.

The previous prime is 106826497. The next prime is 106826501. The reversal of 106826500 is 5628601.

It is a super-2 number, since 2×106826500² = 22823802204500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106826501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4212 + ... + 15211.

It is an arithmetic number, because the mean of its divisors is an integer number (5302752).

Almost surely, 2^106826500 is an apocalyptic number.

106826500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106826500 is an abundant number, since it is smaller than the sum of its proper divisors (147705596).

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

106826500 is a wasteful number, since it uses less digits than its factorization.

106826500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19453 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 106826500 is about 10335.6905913442. The cubic root of 106826500 is about 474.4892015947.

The spelling of 106826500 in words is "one hundred six million, eight hundred twenty-six thousand, five hundred".