105583951197 has 16 divisors (see below), whose sum is σ = 164653336000. Its totient is φ = 66684600432.

The previous prime is 105583951183. The next prime is 105583951217. The reversal of 105583951197 is 791159385501.

It is a happy number.

105583951197 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 8 + 39 + 511 + 97 = 666.

It is not a de Polignac number, because 105583951197 - 2⁷ = 105583951069 is a prime.

It is a super-2 number, since 2×105583951197² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105583952197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102907822 + ... + 102908847.

It is an arithmetic number, because the mean of its divisors is an integer number (10290833500).

Almost surely, 2^105583951197 is an apocalyptic number.

It is an amenable number.

105583951197 is a deficient number, since it is larger than the sum of its proper divisors (59069384803).

105583951197 is a wasteful number, since it uses less digits than its factorization.

105583951197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205816697 (or 205816691 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 54.

The spelling of 105583951197 in words is "one hundred five billion, five hundred eighty-three million, nine hundred fifty-one thousand, one hundred ninety-seven".