105998829111 has 12 divisors (see below), whose sum is σ = 174982194192. Its totient is φ = 60570759456.

The previous prime is 105998829059. The next prime is 105998829121. The reversal of 105998829111 is 111928899501.

It is a happy number.

105998829111 is a `hidden beast` number, since 10 + 599 + 8 + 8 + 29 + 1 + 11 = 666.

It is not a de Polignac number, because 105998829111 - 2⁶ = 105998829047 is a prime.

It is a super-2 number, since 2×105998829111² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105998829121) 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, 841260486 + ... + 841260611.

It is an arithmetic number, because the mean of its divisors is an integer number (14581849516).

Almost surely, 2^105998829111 is an apocalyptic number.

105998829111 is a deficient number, since it is larger than the sum of its proper divisors (68983365081).

105998829111 is a wasteful number, since it uses less digits than its factorization.

105998829111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682521110 (or 1682521107 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 54.

The spelling of 105998829111 in words is "one hundred five billion, nine hundred ninety-eight million, eight hundred twenty-nine thousand, one hundred eleven".