107211168 has 48 divisors (see below), whose sum is σ = 312701760. Its totient is φ = 35736768.

The previous prime is 107211157. The next prime is 107211191. The reversal of 107211168 is 861112701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107211168² = 22988469087848448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 61180 + ... + 62907.

It is an arithmetic number, because the mean of its divisors is an integer number (6514620).

Almost surely, 2^107211168 is an apocalyptic number.

107211168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107211168 is an abundant number, since it is smaller than the sum of its proper divisors (205490592).

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

107211168 is a wasteful number, since it uses less digits than its factorization.

107211168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124106 (or 124092 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 107211168 is about 10354.2825922417. The cubic root of 107211168 is about 475.0580435072.

Adding to 107211168 its reverse (861112701), we get a palindrome (968323869).

The spelling of 107211168 in words is "one hundred seven million, two hundred eleven thousand, one hundred sixty-eight".