105647104944 has 120 divisors (see below), whose sum is σ = 299794859520. Its totient is φ = 34726720896.

The previous prime is 105647104943. The next prime is 105647104961. The reversal of 105647104944 is 449401746501.

105647104944 is a `hidden beast` number, since 1 + 0 + 564 + 7 + 1 + 0 + 49 + 44 = 666.

It is a super-2 number, since 2×105647104944² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105647104944.

It is not an unprimeable number, because it can be changed into a prime (105647104943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3529947 + ... + 3559749.

It is an arithmetic number, because the mean of its divisors is an integer number (2498290496).

Almost surely, 2^105647104944 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 105647104944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149897429760).

105647104944 is an abundant number, since it is smaller than the sum of its proper divisors (194147754576).

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

105647104944 is a wasteful number, since it uses less digits than its factorization.

105647104944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30159 (or 30150 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105647104944 in words is "one hundred five billion, six hundred forty-seven million, one hundred four thousand, nine hundred forty-four".