108294984 has 192 divisors, whose sum is σ = 362419200. Its totient is φ = 28522368.

The previous prime is 108294983. The next prime is 108295001. The reversal of 108294984 is 489492801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108294983) 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 47 ways as a sum of consecutive naturals, for example, 411637 + ... + 411899.

It is an arithmetic number, because the mean of its divisors is an integer number (1887600).

Almost surely, 2^108294984 is an apocalyptic number.

108294984 is a gapful number since it is divisible by the number (14) 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 108294984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

108294984 is an abundant number, since it is smaller than the sum of its proper divisors (254124216).

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

108294984 is a wasteful number, since it uses less digits than its factorization.

108294984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 108294984 is about 10406.4875918823. The cubic root of 108294984 is about 476.6534935857.

It can be divided in two parts, 108294 and 984, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 108294984 in words is "one hundred eight million, two hundred ninety-four thousand, nine hundred eighty-four".