105042756 has 192 divisors, whose sum is σ = 325140480. Its totient is φ = 25643520.

The previous prime is 105042739. The next prime is 105042757. The reversal of 105042756 is 657240501.

It is a super-2 number, since 2×105042756² = 22067961176151072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105042757) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 981655 + ... + 981761.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^105042756 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 105042756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

105042756 is an abundant number, since it is smaller than the sum of its proper divisors (220097724).

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

105042756 is a wasteful number, since it uses less digits than its factorization.

105042756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105042756 is about 10249.0368327956. The cubic root of 105042756 is about 471.8334241749.

The spelling of 105042756 in words is "one hundred five million, forty-two thousand, seven hundred fifty-six".