109309829101704 has 320 divisors, whose sum is σ = 381737182527360. Its totient is φ = 28390652098560.

The previous prime is 109309829101667. The next prime is 109309829101721. The reversal of 109309829101704 is 407101928903901.

109309829101704 is a `hidden beast` number, since 1 + 0 + 9 + 309 + 82 + 91 + 0 + 170 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1174355614 + ... + 1174448690.

It is an arithmetic number, because the mean of its divisors is an integer number (1192928695398).

Almost surely, 2^{109309829101704} is an apocalyptic number.

109309829101704 is a gapful number since it is divisible by the number (14) 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 109309829101704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190868591263680).

109309829101704 is an abundant number, since it is smaller than the sum of its proper divisors (272427353425656).

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

109309829101704 is a wasteful number, since it uses less digits than its factorization.

109309829101704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116650 (or 116637 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 109309829101704 in words is "one hundred nine trillion, three hundred nine billion, eight hundred twenty-nine million, one hundred one thousand, seven hundred four".