109705983376824 has 384 divisors, whose sum is σ = 336851083296000. Its totient is φ = 33328895745024.

The previous prime is 109705983376823. The next prime is 109705983376903. The reversal of 109705983376824 is 428673389507901.

109705983376824 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 0 + 598 + 3 + 3 + 7 + 6 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109705983376823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121179267 + ... + 122081229.

It is an arithmetic number, because the mean of its divisors is an integer number (877216362750).

It is a 1-persistent number, because it is pandigital, but 2⋅109705983376824 = 219411966753648 is not.

Almost surely, 2^{109705983376824} 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 109705983376824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168425541648000).

109705983376824 is an abundant number, since it is smaller than the sum of its proper divisors (227145099919176).

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

109705983376824 is a wasteful number, since it uses less digits than its factorization.

109705983376824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902129 (or 902113 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 109705983376824 in words is "one hundred nine trillion, seven hundred five billion, nine hundred eighty-three million, three hundred seventy-six thousand, eight hundred twenty-four".