109749024 has 288 divisors, whose sum is σ = 400982400. Its totient is φ = 28224000.

The previous prime is 109748987. The next prime is 109749043. The reversal of 109749024 is 420947901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109749024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086574 + ... + 1086674.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^109749024 is an apocalyptic number.

109749024 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 109749024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

109749024 is an abundant number, since it is smaller than the sum of its proper divisors (291233376).

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

109749024 is a wasteful number, since it uses less digits than its factorization.

109749024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109749024 is about 10476.1168378364. The cubic root of 109749024 is about 478.7773047620. Note that the first 3 decimals are identical.

The spelling of 109749024 in words is "one hundred nine million, seven hundred forty-nine thousand, twenty-four".