105966639 has 18 divisors (see below), whose sum is σ = 154635936. Its totient is φ = 69925680.

The previous prime is 105966613. The next prime is 105966643. The reversal of 105966639 is 936669501.

It is not a de Polignac number, because 105966639 - 2⁵ = 105966607 is a prime.

It is a super-2 number, since 2×105966639² = 22457857161912642, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105966594 and 105966603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105966659) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106434 + ... + 107424.

Almost surely, 2^105966639 is an apocalyptic number.

105966639 is a deficient number, since it is larger than the sum of its proper divisors (48669297).

105966639 is an equidigital number, since it uses as much as digits as its factorization.

105966639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 105966639 is about 10294.0098601080. The cubic root of 105966639 is about 473.2126945193.

The spelling of 105966639 in words is "one hundred five million, nine hundred sixty-six thousand, six hundred thirty-nine".