105750036 has 90 divisors (see below), whose sum is σ = 321634698. Its totient is φ = 30209760.

The previous prime is 105750031. The next prime is 105750049. The reversal of 105750036 is 630057501.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 1587600 = 10206^2 + 1260^2 .

It is a super-2 number, since 2×105750036² = 22366140228002592, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105749991 and 105750009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105750031) 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 29 ways as a sum of consecutive naturals, for example, 12546 + ... + 19206.

Almost surely, 2^105750036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105750036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160817349).

105750036 is an abundant number, since it is smaller than the sum of its proper divisors (215884662).

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

105750036 is a wasteful number, since it uses less digits than its factorization.

105750036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105750036 is about 10283.4836509813. The cubic root of 105750036 is about 472.8900482973.

The spelling of 105750036 in words is "one hundred five million, seven hundred fifty thousand, thirty-six".