105756642 has 12 divisors (see below), whose sum is σ = 229139430. Its totient is φ = 35252208.

The previous prime is 105756611. The next prime is 105756647. The reversal of 105756642 is 246657501.

It is a happy number.

105756642 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 6 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75846681 + 29909961 = 8709^2 + 5469^2 .

It is a super-2 number, since 2×105756642² = 22368934654232328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105756597 and 105756606.

It is not an unprimeable number, because it can be changed into a prime (105756647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2937667 + ... + 2937702.

Almost surely, 2^105756642 is an apocalyptic number.

105756642 is an abundant number, since it is smaller than the sum of its proper divisors (123382788).

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

105756642 is a wasteful number, since it uses less digits than its factorization.

105756642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875377 (or 5875374 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 105756642 is about 10283.8048406220. The cubic root of 105756642 is about 472.8998949342.

The spelling of 105756642 in words is "one hundred five million, seven hundred fifty-six thousand, six hundred forty-two".