105010445016 has 48 divisors (see below), whose sum is σ = 286047272160. Its totient is φ = 34801145280.

The previous prime is 105010445011. The next prime is 105010445027. The reversal of 105010445016 is 610544010501.

105010445016 is a `hidden beast` number, since 1 + 0 + 50 + 104 + 4 + 501 + 6 = 666.

It is a super-2 number, since 2×105010445016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010445011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4202800 + ... + 4227711.

It is an arithmetic number, because the mean of its divisors is an integer number (5959318170).

Almost surely, 2^105010445016 is an apocalyptic number.

It is an amenable number.

105010445016 is an abundant number, since it is smaller than the sum of its proper divisors (181036827144).

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

105010445016 is a wasteful number, since it uses less digits than its factorization.

105010445016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430696 (or 8430689 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 105010445016 its reverse (610544010501), we get a palindrome (715554455517).

The spelling of 105010445016 in words is "one hundred five billion, ten million, four hundred forty-five thousand, sixteen".