109257984 has 180 divisors, whose sum is σ = 356146560. Its totient is φ = 33039360.

The previous prime is 109257979. The next prime is 109257991. The reversal of 109257984 is 489752901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227857 + ... + 228335.

It is an arithmetic number, because the mean of its divisors is an integer number (1978592).

Almost surely, 2^109257984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073280).

109257984 is an abundant number, since it is smaller than the sum of its proper divisors (246888576).

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

109257984 is an equidigital number, since it uses as much as digits as its factorization.

109257984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 109257984 is about 10452.6543997207. The cubic root of 109257984 is about 478.0621873656.

The spelling of 109257984 in words is "one hundred nine million, two hundred fifty-seven thousand, nine hundred eighty-four".