109603101791232 has 880 divisors, whose sum is σ = 389462880280320. Its totient is φ = 30050146713600.

The previous prime is 109603101791123. The next prime is 109603101791279. The reversal of 109603101791232 is 232197101306901.

109603101791232 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 0 + 310 + 17 + 91 + 232 = 666.

It is a congruent number.

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, 1452062869 + ... + 1452138347.

It is an arithmetic number, because the mean of its divisors is an integer number (442571454864).

Almost surely, 2^{109603101791232} is an apocalyptic number.

109603101791232 is a gapful number since it is divisible by the number (12) 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 109603101791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194731440140160).

109603101791232 is an abundant number, since it is smaller than the sum of its proper divisors (279859778489088).

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

109603101791232 is an equidigital number, since it uses as much as digits as its factorization.

109603101791232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75620 (or 75593 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 109603101791232 in words is "one hundred nine trillion, six hundred three billion, one hundred one million, seven hundred ninety-one thousand, two hundred thirty-two".