109534057920 has 1008 divisors, whose sum is σ = 464328296640. Its totient is φ = 24078974976.

The previous prime is 109534057901. The next prime is 109534057933. The reversal of 109534057920 is 29750435901.

It is a happy number.

109534057920 is a `hidden beast` number, since 1 + 0 + 9 + 53 + 4 + 0 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 426202432 + ... + 426202688.

Almost surely, 2^109534057920 is an apocalyptic number.

109534057920 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 109534057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232164148320).

109534057920 is an abundant number, since it is smaller than the sum of its proper divisors (354794238720).

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

109534057920 is an frugal number, since it uses more digits than its factorization.

109534057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 109534057920 in words is "one hundred nine billion, five hundred thirty-four million, fifty-seven thousand, nine hundred twenty".