105120099 has 48 divisors (see below), whose sum is σ = 186251520. Its totient is φ = 57970080.

The previous prime is 105120013. The next prime is 105120107. The reversal of 105120099 is 990021501.

It is a happy number.

It is not a de Polignac number, because 105120099 - 2¹⁹ = 104595811 is a prime.

It is a super-2 number, since 2×105120099² = 22100470427539602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105120599) 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, 48264 + ... + 50394.

It is an arithmetic number, because the mean of its divisors is an integer number (3880240).

Almost surely, 2^105120099 is an apocalyptic number.

105120099 is a deficient number, since it is larger than the sum of its proper divisors (81131421).

105120099 is an equidigital number, since it uses as much as digits as its factorization.

105120099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 105120099 is about 10252.8093223272. The cubic root of 105120099 is about 471.9491994426.

The spelling of 105120099 in words is "one hundred five million, one hundred twenty thousand, ninety-nine".