105254639244 has 96 divisors (see below), whose sum is σ = 282367008000. Its totient is φ = 33883774848.

The previous prime is 105254639221. The next prime is 105254639257. The reversal of 105254639244 is 442936452501.

105254639244 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 4 + 639 + 2 + 4 + 4 = 666.

It is a super-2 number, since 2×105254639244² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105254639244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285987 + ... + 540645.

It is an arithmetic number, because the mean of its divisors is an integer number (2941323000).

Almost surely, 2^105254639244 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 105254639244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141183504000).

105254639244 is an abundant number, since it is smaller than the sum of its proper divisors (177112368756).

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

105254639244 is a wasteful number, since it uses less digits than its factorization.

105254639244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254804 (or 254796 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 105254639244 in words is "one hundred five billion, two hundred fifty-four million, six hundred thirty-nine thousand, two hundred forty-four".