105105200049 has 8 divisors (see below), whose sum is σ = 155711407520. Its totient is φ = 70070133348.

The previous prime is 105105200029. The next prime is 105105200063. The reversal of 105105200049 is 940002501501.

It is not a de Polignac number, because 105105200049 - 2¹¹ = 105105198001 is a prime.

It is a super-2 number, since 2×105105200049² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3892785187 = 105105200049 / (1 + 0 + 5 + 1 + 0 + 5 + 2 + 0 + 0 + 0 + 4 + 9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105105199995 and 105105200031.

It is not an unprimeable number, because it can be changed into a prime (105105200029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1946392567 + ... + 1946392620.

It is an arithmetic number, because the mean of its divisors is an integer number (19463925940).

Almost surely, 2^105105200049 is an apocalyptic number.

It is an amenable number.

105105200049 is a deficient number, since it is larger than the sum of its proper divisors (50606207471).

105105200049 is an equidigital number, since it uses as much as digits as its factorization.

105105200049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892785196 (or 3892785190 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 105105200049 in words is "one hundred five billion, one hundred five million, two hundred thousand, forty-nine".