105488217120 has 384 divisors, whose sum is σ = 391643900928. Its totient is φ = 23529369600.

The previous prime is 105488217091. The next prime is 105488217169. The reversal of 105488217120 is 21712884501.

105488217120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105488217120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22717519 + ... + 22722161.

It is an arithmetic number, because the mean of its divisors is an integer number (1019905992).

Almost surely, 2^105488217120 is an apocalyptic number.

105488217120 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 105488217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195821950464).

105488217120 is an abundant number, since it is smaller than the sum of its proper divisors (286155683808).

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

105488217120 is a wasteful number, since it uses less digits than its factorization.

105488217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The spelling of 105488217120 in words is "one hundred five billion, four hundred eighty-eight million, two hundred seventeen thousand, one hundred twenty".