107211006 has 64 divisors (see below), whose sum is σ = 273960960. Its totient is φ = 30443040.

The previous prime is 107211001. The next prime is 107211007. The reversal of 107211006 is 600112701.

It is a super-2 number, since 2×107211006² = 22988399615064072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107211006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107211001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67635 + ... + 69201.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^107211006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107211006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136980480).

107211006 is an abundant number, since it is smaller than the sum of its proper divisors (166749954).

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

107211006 is a wasteful number, since it uses less digits than its factorization.

107211006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 107211006 is about 10354.2747693887. The cubic root of 107211006 is about 475.0578042303.

Adding to 107211006 its reverse (600112701), we get a palindrome (707323707).

The spelling of 107211006 in words is "one hundred seven million, two hundred eleven thousand, six".