109477575072 has 144 divisors (see below), whose sum is σ = 318418708608. Its totient is φ = 35666542080.

The previous prime is 109477575071. The next prime is 109477575079. The reversal of 109477575072 is 270575774901.

109477575072 is a `hidden beast` number, since 1 + 0 + 9 + 477 + 57 + 50 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (109477575071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000797 + ... + 4028067.

It is an arithmetic number, because the mean of its divisors is an integer number (2211241032).

Almost surely, 2^109477575072 is an apocalyptic number.

109477575072 is a gapful number since it is divisible by the number (12) 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 109477575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159209354304).

109477575072 is an abundant number, since it is smaller than the sum of its proper divisors (208941133536).

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

109477575072 is a wasteful number, since it uses less digits than its factorization.

109477575072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27603 (or 27592 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 109477575072 in words is "one hundred nine billion, four hundred seventy-seven million, five hundred seventy-five thousand, seventy-two".