109029919680 has 336 divisors, whose sum is σ = 409658112864. Its totient is φ = 26396098560.

The previous prime is 109029919631. The next prime is 109029919681. The reversal of 109029919680 is 86919920901.

109029919680 is a `hidden beast` number, since 1 + 0 + 90 + 299 + 196 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109029919681) 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, 29682324 + ... + 29685996.

It is an arithmetic number, because the mean of its divisors is an integer number (1219220574).

Almost surely, 2^109029919680 is an apocalyptic number.

109029919680 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 109029919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204829056432).

109029919680 is an abundant number, since it is smaller than the sum of its proper divisors (300628193184).

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

109029919680 is a wasteful number, since it uses less digits than its factorization.

109029919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 109029919680 in words is "one hundred nine billion, twenty-nine million, nine hundred nineteen thousand, six hundred eighty".