105046444116 has 18 divisors (see below), whose sum is σ = 265534067162. Its totient is φ = 35015481360.

The previous prime is 105046444043. The next prime is 105046444117. The reversal of 105046444116 is 611444640501.

105046444116 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 4 + 644 + 4 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70439283216 + 34607160900 = 265404^2 + 186030^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105046444116² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2917956781 = 105046444116 / (1 + 0 + 5 + 0 + 4 + 6 + 4 + 4 + 4 + 1 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105046444117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1458978355 + ... + 1458978426.

Almost surely, 2^105046444116 is an apocalyptic number.

It is an amenable number.

105046444116 is an abundant number, since it is smaller than the sum of its proper divisors (160487623046).

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

105046444116 is a wasteful number, since it uses less digits than its factorization.

105046444116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917956791 (or 2917956786 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 105046444116 in words is "one hundred five billion, forty-six million, four hundred forty-four thousand, one hundred sixteen".