105137136 has 160 divisors (see below), whose sum is σ = 330048320. Its totient is φ = 31850496.

The previous prime is 105137057. The next prime is 105137159. The reversal of 105137136 is 631731501.

105137136 is a `hidden beast` number, since 10 + 513 + 7 + 136 = 666.

It is a super-2 number, since 2×105137136² = 22107634732564992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 544656 + ... + 544848.

It is an arithmetic number, because the mean of its divisors is an integer number (2062802).

Almost surely, 2^105137136 is an apocalyptic number.

105137136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105137136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165024160).

105137136 is an abundant number, since it is smaller than the sum of its proper divisors (224911184).

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

105137136 is a wasteful number, since it uses less digits than its factorization.

105137136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105137136 is about 10253.6401341182. The cubic root of 105137136 is about 471.9746946119.

Adding to 105137136 its reverse (631731501), we get a palindrome (736868637).

The spelling of 105137136 in words is "one hundred five million, one hundred thirty-seven thousand, one hundred thirty-six".