105406226199 has 24 divisors (see below), whose sum is σ = 161615684880. Its totient is φ = 65970609408.

The previous prime is 105406226173. The next prime is 105406226201. The reversal of 105406226199 is 991622604501.

105406226199 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 6 + 22 + 619 + 9 = 666.

It is not a de Polignac number, because 105406226199 - 2¹¹ = 105406224151 is a prime.

It is a super-3 number, since 3×105406226199³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105406226699) 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, 806929 + ... + 928410.

It is an arithmetic number, because the mean of its divisors is an integer number (6733986870).

Almost surely, 2^105406226199 is an apocalyptic number.

105406226199 is a deficient number, since it is larger than the sum of its proper divisors (56209458681).

105406226199 is a wasteful number, since it uses less digits than its factorization.

105406226199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735759 (or 1735756 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 105406226199 in words is "one hundred five billion, four hundred six million, two hundred twenty-six thousand, one hundred ninety-nine".