105235513199 has 8 divisors (see below), whose sum is σ = 111063459840. Its totient is φ = 99436490136.

The previous prime is 105235513193. The next prime is 105235513247. The reversal of 105235513199 is 991315532501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105235513199 - 2³² = 100940545903 is a prime.

It is a super-2 number, since 2×105235513199² (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 (105235513193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7223417 + ... + 7237970.

It is an arithmetic number, because the mean of its divisors is an integer number (13882932480).

Almost surely, 2^105235513199 is an apocalyptic number.

105235513199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105235513199 is a deficient number, since it is larger than the sum of its proper divisors (5827946641).

105235513199 is a wasteful number, since it uses less digits than its factorization.

105235513199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461789.

The product of its (nonzero) digits is 182250, while the sum is 44.

The spelling of 105235513199 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, one hundred ninety-nine".