105617417199 has 48 divisors (see below), whose sum is σ = 171258962688. Its totient is φ = 56704923648.

The previous prime is 105617417159. The next prime is 105617417201. The reversal of 105617417199 is 991714716501.

It is not a de Polignac number, because 105617417199 - 2²⁸ = 105348981743 is a prime.

It is a super-2 number, since 2×105617417199² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105617417159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3584244 + ... + 3613590.

It is an arithmetic number, because the mean of its divisors is an integer number (3567895056).

Almost surely, 2^105617417199 is an apocalyptic number.

105617417199 is a deficient number, since it is larger than the sum of its proper divisors (65641545489).

105617417199 is a wasteful number, since it uses less digits than its factorization.

105617417199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29984 (or 29967 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 51.

The spelling of 105617417199 in words is "one hundred five billion, six hundred seventeen million, four hundred seventeen thousand, one hundred ninety-nine".