105920899 has 18 divisors (see below), whose sum is σ = 126714420. Its totient is φ = 88279632.

The previous prime is 105920891. The next prime is 105920951. The reversal of 105920899 is 998029501.

It is not a de Polignac number, because 105920899 - 2³ = 105920891 is a prime.

It is a super-2 number, since 2×105920899² = 22438473689936402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105920891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66292 + ... + 67870.

It is an arithmetic number, because the mean of its divisors is an integer number (7039690).

Almost surely, 2^105920899 is an apocalyptic number.

105920899 is a deficient number, since it is larger than the sum of its proper divisors (20793521).

105920899 is an equidigital number, since it uses as much as digits as its factorization.

105920899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The square root of 105920899 is about 10291.7879399063. The cubic root of 105920899 is about 473.1445980445.

The spelling of 105920899 in words is "one hundred five million, nine hundred twenty thousand, eight hundred ninety-nine".