105966099 has 24 divisors (see below), whose sum is σ = 157654224. Its totient is φ = 68544000.

The previous prime is 105966079. The next prime is 105966101. The reversal of 105966099 is 990669501.

It is not a de Polignac number, because 105966099 - 2⁵ = 105966067 is a prime.

It is a super-2 number, since 2×105966099² = 22457628274555602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105966019) 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, 77179 + ... + 78539.

It is an arithmetic number, because the mean of its divisors is an integer number (6568926).

Almost surely, 2^105966099 is an apocalyptic number.

105966099 is a deficient number, since it is larger than the sum of its proper divisors (51688125).

105966099 is a wasteful number, since it uses less digits than its factorization.

105966099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 105966099 is about 10293.9836312285. The cubic root of 105966099 is about 473.2118906962.

The spelling of 105966099 in words is "one hundred five million, nine hundred sixty-six thousand, ninety-nine".