105136024 has 32 divisors (see below), whose sum is σ = 238546080. Its totient is φ = 42407424.

The previous prime is 105135997. The next prime is 105136027. The reversal of 105136024 is 420631501.

It is a super-2 number, since 2×105136024² = 22107167085057152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105135986 and 105136004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105136027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54267 + ... + 56170.

It is an arithmetic number, because the mean of its divisors is an integer number (7454565).

Almost surely, 2^105136024 is an apocalyptic number.

105136024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105136024 is an abundant number, since it is smaller than the sum of its proper divisors (133410056).

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

105136024 is a wasteful number, since it uses less digits than its factorization.

105136024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110467 (or 110463 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105136024 is about 10253.5859093295. The cubic root of 105136024 is about 471.9730306337.

Adding to 105136024 its reverse (420631501), we get a palindrome (525767525).

The spelling of 105136024 in words is "one hundred five million, one hundred thirty-six thousand, twenty-four".