105036750 has 384 divisors, whose sum is σ = 381588480. Its totient is φ = 20995200.

The previous prime is 105036739. The next prime is 105036751. The reversal of 105036750 is 57630501.

It is a super-2 number, since 2×105036750² = 22065437701125000, 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 not an unprimeable number, because it can be changed into a prime (105036751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5528241 + ... + 5528259.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 2^105036750 is an apocalyptic number.

105036750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105036750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

105036750 is an abundant number, since it is smaller than the sum of its proper divisors (276551730).

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

105036750 is a wasteful number, since it uses less digits than its factorization.

105036750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

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

The square root of 105036750 is about 10248.7438254647. The cubic root of 105036750 is about 471.8244313747.

The spelling of 105036750 in words is "one hundred five million, thirty-six thousand, seven hundred fifty".