105144415872 has 128 divisors (see below), whose sum is σ = 283716639360. Its totient is φ = 34494676992.

The previous prime is 105144415861. The next prime is 105144415907. The reversal of 105144415872 is 278514441501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105144415872² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14096368 + ... + 14103824.

It is an arithmetic number, because the mean of its divisors is an integer number (2216536245).

Almost surely, 2^105144415872 is an apocalyptic number.

105144415872 is a gapful number since it is divisible by the number (12) 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 105144415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141858319680).

105144415872 is an abundant number, since it is smaller than the sum of its proper divisors (178572223488).

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

105144415872 is an equidigital number, since it uses as much as digits as its factorization.

105144415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 105144415872 in words is "one hundred five billion, one hundred forty-four million, four hundred fifteen thousand, eight hundred seventy-two".