109432005624 has 192 divisors, whose sum is σ = 313185600000. Its totient is φ = 34451847936.

The previous prime is 109432005623. The next prime is 109432005637. The reversal of 109432005624 is 426500234901.

It is a happy number.

109432005624 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 3 + 20 + 0 + 5 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109432005623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45805422 + ... + 45807810.

It is an arithmetic number, because the mean of its divisors is an integer number (1631175000).

Almost surely, 2^109432005624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109432005624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156592800000).

109432005624 is an abundant number, since it is smaller than the sum of its proper divisors (203753594376).

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

109432005624 is a wasteful number, since it uses less digits than its factorization.

109432005624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 109432005624 in words is "one hundred nine billion, four hundred thirty-two million, five thousand, six hundred twenty-four".