106022000 has 80 divisors (see below), whose sum is σ = 293022912. Its totient is φ = 36345600.

The previous prime is 106021991. The next prime is 106022039. The reversal of 106022000 is 220601.

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

It is a super-2 number, since 2×106022000² = 22481328968000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 10214 + ... + 17786.

Almost surely, 2^106022000 is an apocalyptic number.

106022000 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 106022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146511456).

106022000 is an abundant number, since it is smaller than the sum of its proper divisors (187000912).

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

106022000 is an equidigital number, since it uses as much as digits as its factorization.

106022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 106022000 is about 10296.6985000047. The cubic root of 106022000 is about 473.2950882718.

Adding to 106022000 its reverse (220601), we get a palindrome (106242601).

The spelling of 106022000 in words is "one hundred six million, twenty-two thousand".