105120636 has 24 divisors (see below), whose sum is σ = 245562240. Its totient is φ = 35000112.

The previous prime is 105120601. The next prime is 105120641. The reversal of 105120636 is 636021501.

It is a super-2 number, since 2×105120636² = 22100696226088992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7075 + ... + 16133.

It is an arithmetic number, because the mean of its divisors is an integer number (10231760).

Almost surely, 2^105120636 is an apocalyptic number.

It is an amenable number.

105120636 is an abundant number, since it is smaller than the sum of its proper divisors (140441604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105120636 is a wasteful number, since it uses less digits than its factorization.

105120636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105120636 is about 10252.8355102381. The cubic root of 105120636 is about 471.9500030830.

The spelling of 105120636 in words is "one hundred five million, one hundred twenty thousand, six hundred thirty-six".