105133136 has 20 divisors (see below), whose sum is σ = 203901012. Its totient is φ = 52513536.

The previous prime is 105133129. The next prime is 105133139. The reversal of 105133136 is 631331501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6250000 + 98883136 = 2500^2 + 9944^2 .

It is a super-2 number, since 2×105133136² = 22105952570388992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16700 + ... + 22116.

Almost surely, 2^105133136 is an apocalyptic number.

105133136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105133136 is a deficient number, since it is larger than the sum of its proper divisors (98767876).

105133136 is a wasteful number, since it uses less digits than its factorization.

105133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 105133136 is about 10253.4450795818. The cubic root of 105133136 is about 471.9687090240.

Adding to 105133136 its reverse (631331501), we get a palindrome (736464637).

The spelling of 105133136 in words is "one hundred five million, one hundred thirty-three thousand, one hundred thirty-six".