109100987424 has 384 divisors, whose sum is σ = 378382233600. Its totient is φ = 30147240960.

The previous prime is 109100987423. The next prime is 109100987447. The reversal of 109100987424 is 424789001901.

It is a happy number.

109100987424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 109100987424.

It is not an unprimeable number, because it can be changed into a prime (109100987423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10249497 + ... + 10260135.

It is an arithmetic number, because the mean of its divisors is an integer number (985370400).

Almost surely, 2^109100987424 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 109100987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189191116800).

109100987424 is an abundant number, since it is smaller than the sum of its proper divisors (269281246176).

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

109100987424 is a wasteful number, since it uses less digits than its factorization.

109100987424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 109100987424 in words is "one hundred nine billion, one hundred million, nine hundred eighty-seven thousand, four hundred twenty-four".