106822548 has 144 divisors (see below), whose sum is σ = 324105600. Its totient is φ = 29635200.

The previous prime is 106822531. The next prime is 106822567. The reversal of 106822548 is 845228601.

106822548 is a `hidden beast` number, since 106 + 8 + 2 + 2 + 548 = 666.

It is a super-2 number, since 2×106822548² = 22822113522424608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506163 + ... + 506373.

Almost surely, 2^106822548 is an apocalyptic number.

106822548 is a gapful number since it is divisible by the number (18) 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 106822548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162052800).

106822548 is an abundant number, since it is smaller than the sum of its proper divisors (217283052).

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

106822548 is a wasteful number, since it uses less digits than its factorization.

106822548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106822548 is about 10335.4994073823. The cubic root of 106822548 is about 474.4833503485.

The spelling of 106822548 in words is "one hundred six million, eight hundred twenty-two thousand, five hundred forty-eight".