105893136 has 80 divisors (see below), whose sum is σ = 321854400. Its totient is φ = 33219072.

The previous prime is 105893131. The next prime is 105893233. The reversal of 105893136 is 631398501.

It is a happy number.

105893136 is a `hidden beast` number, since 10 + 589 + 31 + 36 = 666.

It is a super-2 number, since 2×105893136² = 22426712503828992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105893136.

It is not an unprimeable number, because it can be changed into a prime (105893131) 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 15 ways as a sum of consecutive naturals, for example, 135 + ... + 14553.

It is an arithmetic number, because the mean of its divisors is an integer number (4023180).

Almost surely, 2^105893136 is an apocalyptic number.

105893136 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 105893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160927200).

105893136 is an abundant number, since it is smaller than the sum of its proper divisors (215961264).

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

105893136 is a wasteful number, since it uses less digits than its factorization.

105893136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105893136 is about 10290.4390576885. The cubic root of 105893136 is about 473.1032556797.

The spelling of 105893136 in words is "one hundred five million, eight hundred ninety-three thousand, one hundred thirty-six".