108429693120 has 336 divisors, whose sum is σ = 444969168480. Its totient is φ = 24783833088.

The previous prime is 108429693103. The next prime is 108429693121. The reversal of 108429693120 is 21396924801.

108429693120 is a `hidden beast` number, since 10 + 8 + 429 + 6 + 93 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (108429693121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295302 + ... + 551418.

Almost surely, 2^108429693120 is an apocalyptic number.

108429693120 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 108429693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222484584240).

108429693120 is an abundant number, since it is smaller than the sum of its proper divisors (336539475360).

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

108429693120 is a wasteful number, since it uses less digits than its factorization.

108429693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256157 (or 256134 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 108429693120 in words is "one hundred eight billion, four hundred twenty-nine million, six hundred ninety-three thousand, one hundred twenty".