109521104616 has 768 divisors, whose sum is σ = 411129600000. Its totient is φ = 26907914880.

The previous prime is 109521104591. The next prime is 109521104669. The reversal of 109521104616 is 616401125901.

109521104616 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 21 + 10 + 4 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170327991 + ... + 170328633.

It is an arithmetic number, because the mean of its divisors is an integer number (535325000).

Almost surely, 2^109521104616 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 109521104616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205564800000).

109521104616 is an abundant number, since it is smaller than the sum of its proper divisors (301608495384).

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

109521104616 is a wasteful number, since it uses less digits than its factorization.

109521104616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 109521104616 in words is "one hundred nine billion, five hundred twenty-one million, one hundred four thousand, six hundred sixteen".