108947776 has 70 divisors (see below), whose sum is σ = 252566170. Its totient is φ = 46626048.

The previous prime is 108947759. The next prime is 108947777. The reversal of 108947776 is 677749801.

It can be written as a sum of positive squares in only one way, i.e., 74373376 + 34574400 = 8624^2 + 5880^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108947777) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 153310 + ... + 154018.

Almost surely, 2^108947776 is an apocalyptic number.

108947776 is a gapful number since it is divisible by the number (16) 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 108947776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126283085).

108947776 is an abundant number, since it is smaller than the sum of its proper divisors (143618394).

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

108947776 is an frugal number, since it uses more digits than its factorization.

108947776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

The square root of 108947776 is about 10437.8051332644. The cubic root of 108947776 is about 477.6093164554.

The spelling of 108947776 in words is "one hundred eight million, nine hundred forty-seven thousand, seven hundred seventy-six".