106010208 has 72 divisors (see below), whose sum is σ = 312654888. Its totient is φ = 35334144.

The previous prime is 106010183. The next prime is 106010213. The reversal of 106010208 is 802010601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106010208² = 22476328400406528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 960 + ... + 14592.

It is an arithmetic number, because the mean of its divisors is an integer number (4342429).

Almost surely, 2^106010208 is an apocalyptic number.

106010208 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 106010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156327444).

106010208 is an abundant number, since it is smaller than the sum of its proper divisors (206644680).

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

106010208 is an equidigital number, since it uses as much as digits as its factorization.

106010208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106010208 is about 10296.1258733564. The cubic root of 106010208 is about 473.2775406477.

Adding to 106010208 its reverse (802010601), we get a palindrome (908020809).

The spelling of 106010208 in words is "one hundred six million, ten thousand, two hundred eight".