109382582400 has 1152 divisors, whose sum is σ = 466705128960. Its totient is φ = 22295347200.

The previous prime is 109382582371. The next prime is 109382582443. The reversal of 109382582400 is 4285283901.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 189570912 + ... + 189571488.

It is an arithmetic number, because the mean of its divisors is an integer number (405125980).

Almost surely, 2^109382582400 is an apocalyptic number.

109382582400 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 109382582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233352564480).

109382582400 is an abundant number, since it is smaller than the sum of its proper divisors (357322546560).

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

109382582400 is a wasteful number, since it uses less digits than its factorization.

109382582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 109382582400 in words is "one hundred nine billion, three hundred eighty-two million, five hundred eighty-two thousand, four hundred".