109211841504 has 144 divisors (see below), whose sum is σ = 319166069040. Its totient is φ = 35397734400.

The previous prime is 109211841503. The next prime is 109211841509. The reversal of 109211841504 is 405148112901.

109211841504 is a `hidden beast` number, since 10 + 92 + 1 + 18 + 41 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109211841503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29845627 + ... + 29849285.

It is an arithmetic number, because the mean of its divisors is an integer number (2216431035).

Almost surely, 2^109211841504 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 109211841504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159583034520).

109211841504 is an abundant number, since it is smaller than the sum of its proper divisors (209954227536).

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

109211841504 is a wasteful number, since it uses less digits than its factorization.

109211841504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 109211841504 in words is "one hundred nine billion, two hundred eleven million, eight hundred forty-one thousand, five hundred four".