106826720 has 384 divisors, whose sum is σ = 365783040. Its totient is φ = 28385280.

The previous prime is 106826693. The next prime is 106826737. The reversal of 106826720 is 27628601.

It is a super-2 number, since 2×106826720² = 22823896211916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3683666 + ... + 3683694.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^106826720 is an apocalyptic number.

106826720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106826720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

106826720 is an abundant number, since it is smaller than the sum of its proper divisors (258956320).

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

106826720 is a wasteful number, since it uses less digits than its factorization.

106826720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 106826720 is about 10335.7012340721. The cubic root of 106826720 is about 474.4895273177.

The spelling of 106826720 in words is "one hundred six million, eight hundred twenty-six thousand, seven hundred twenty".