199210980105 has 24 divisors (see below), whose sum is σ = 345309873480. Its totient is φ = 106242520320.

The previous prime is 199210980079. The next prime is 199210980107. The reversal of 199210980105 is 501089012991.

It can be written as a sum of positive squares in 4 ways, for example, as 10192113936 + 189018866169 = 100956^2 + 434763^2 .

It is not a de Polignac number, because 199210980105 - 2¹⁹ = 199210455817 is a prime.

It is a super-2 number, since 2×199210980105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (199210980107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179525 + ... + 2269085.

It is an arithmetic number, because the mean of its divisors is an integer number (14387911395).

Almost surely, 2^199210980105 is an apocalyptic number.

199210980105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199210980105 is a deficient number, since it is larger than the sum of its proper divisors (146098893375).

199210980105 is a wasteful number, since it uses less digits than its factorization.

199210980105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139001 (or 138998 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 199210980105 in words is "one hundred ninety-nine billion, two hundred ten million, nine hundred eighty thousand, one hundred five".