105135996 has 48 divisors (see below), whose sum is σ = 280869120. Its totient is φ = 29984640.

The previous prime is 105135983. The next prime is 105135997. The reversal of 105135996 is 699531501.

It is a super-2 number, since 2×105135996² = 22107155309824032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105135997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80920 + ... + 82208.

It is an arithmetic number, because the mean of its divisors is an integer number (5851440).

Almost surely, 2^105135996 is an apocalyptic number.

It is an amenable number.

105135996 is an abundant number, since it is smaller than the sum of its proper divisors (175733124).

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

105135996 is a wasteful number, since it uses less digits than its factorization.

105135996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 39.

The square root of 105135996 is about 10253.5845439534. The cubic root of 105135996 is about 471.9729887348.

The spelling of 105135996 in words is "one hundred five million, one hundred thirty-five thousand, nine hundred ninety-six".