105519558144 has 960 divisors, whose sum is σ = 403762157568. Its totient is φ = 23746314240.

The previous prime is 105519558139. The next prime is 105519558181. The reversal of 105519558144 is 441855915501.

It is a happy number.

It is a super-2 number, since 2×105519558144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105519558093 and 105519558102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287519049 + ... + 287519415.

Almost surely, 2^105519558144 is an apocalyptic number.

105519558144 is a gapful number since it is divisible by the number (14) 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 105519558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201881078784).

105519558144 is an abundant number, since it is smaller than the sum of its proper divisors (298242599424).

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

105519558144 is a wasteful number, since it uses less digits than its factorization.

105519558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 48.

The spelling of 105519558144 in words is "one hundred five billion, five hundred nineteen million, five hundred fifty-eight thousand, one hundred forty-four".