105172820544 has 336 divisors, whose sum is σ = 321550588800. Its totient is φ = 30257356800.

The previous prime is 105172820527. The next prime is 105172820549. The reversal of 105172820544 is 445028271501.

It is a super-2 number, since 2×105172820544² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105172820549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79615404 + ... + 79616724.

It is an arithmetic number, because the mean of its divisors is an integer number (956995800).

Almost surely, 2^105172820544 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 105172820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160775294400).

105172820544 is an abundant number, since it is smaller than the sum of its proper divisors (216377768256).

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

105172820544 is a wasteful number, since it uses less digits than its factorization.

105172820544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 105172820544 in words is "one hundred five billion, one hundred seventy-two million, eight hundred twenty thousand, five hundred forty-four".