109905513277560 has 512 divisors, whose sum is σ = 442735169587200. Its totient is φ = 21078928465920.

The previous prime is 109905513277543. The next prime is 109905513277589. The reversal of 109905513277560 is 65772315509901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 109905513277494 and 109905513277503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1652457586 + ... + 1652524094.

It is an arithmetic number, because the mean of its divisors is an integer number (864717128100).

Almost surely, 2^{109905513277560} is an apocalyptic number.

109905513277560 is a gapful number since it is divisible by the number (10) 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 109905513277560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221367584793600).

109905513277560 is an abundant number, since it is smaller than the sum of its proper divisors (332829656309640).

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

109905513277560 is a wasteful number, since it uses less digits than its factorization.

109905513277560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80311 (or 80307 counting only the distinct ones).

The product of its (nonzero) digits is 17860500, while the sum is 60.

The spelling of 109905513277560 in words is "one hundred nine trillion, nine hundred five billion, five hundred thirteen million, two hundred seventy-seven thousand, five hundred sixty".