109282461120 has 448 divisors, whose sum is σ = 463793433600. Its totient is φ = 23663923200.

The previous prime is 109282461107. The next prime is 109282461131. The reversal of 109282461120 is 21164282901.

109282461120 is a `hidden beast` number, since 10 + 9 + 2 + 8 + 2 + 4 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1101570 + ... + 1196670.

It is an arithmetic number, because the mean of its divisors is an integer number (1035253200).

Almost surely, 2^109282461120 is an apocalyptic number.

109282461120 is a gapful number since it is divisible by the number (10) 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 109282461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231896716800).

109282461120 is an abundant number, since it is smaller than the sum of its proper divisors (354510972480).

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

109282461120 is a wasteful number, since it uses less digits than its factorization.

109282461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95153 (or 95137 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 109282461120 in words is "one hundred nine billion, two hundred eighty-two million, four hundred sixty-one thousand, one hundred twenty".