108973305 has 72 divisors (see below), whose sum is σ = 223064712. Its totient is φ = 49061376.

The previous prime is 108973301. The next prime is 108973313. The reversal of 108973305 is 503379801.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 62678889 = 6804^2 + 7917^2 .

It is not a de Polignac number, because 108973305 - 2² = 108973301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 108973305.

It is not an unprimeable number, because it can be changed into a prime (108973301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160627 + ... + 161303.

It is an arithmetic number, because the mean of its divisors is an integer number (3098121).

Almost surely, 2^108973305 is an apocalyptic number.

108973305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108973305 is an abundant number, since it is smaller than the sum of its proper divisors (114091407).

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

108973305 is a wasteful number, since it uses less digits than its factorization.

108973305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 108973305 is about 10439.0279719905. The cubic root of 108973305 is about 477.6466185355.

It can be divided in two parts, 108973 and 305, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 108973305 in words is "one hundred eight million, nine hundred seventy-three thousand, three hundred five".