108909801 has 108 divisors (see below), whose sum is σ = 217999236. Its totient is φ = 51891840.

The previous prime is 108909797. The next prime is 108909809.

108909801 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 23532201 + 85377600 = 4851^2 + 9240^2 .

It is not a de Polignac number, because 108909801 - 2² = 108909797 is a prime.

It is a super-2 number, since 2×108909801² = 23722689507719202, which contains 22 as substring.

108909801 is a modest number, since divided by 9801 gives 1089 as remainder.

It is not an unprimeable number, because it can be changed into a prime (108909809) 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 107 ways as a sum of consecutive naturals, for example, 693615 + ... + 693771.

Almost surely, 2^108909801 is an apocalyptic number.

108909801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

108909801 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

108909801 is a wasteful number, since it uses less digits than its factorization.

108909801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 108909801 is about 10435.9858662227. The cubic root of 108909801 is about 477.5538179338.

It can be divided in two parts, 108 and 909801, that added together give a palindrome (909909).

The spelling of 108909801 in words is "one hundred eight million, nine hundred nine thousand, eight hundred one".