10756100061 has 24 divisors (see below), whose sum is σ = 17970039360. Its totient is φ = 6072287616.

The previous prime is 10756100041. The next prime is 10756100063. The reversal of 10756100061 is 16000165701.

10756100061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10756100061 - 2⁷ = 10756099933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10756099998 and 10756100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10756100063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023276 + ... + 1033733.

It is an arithmetic number, because the mean of its divisors is an integer number (748751640).

Almost surely, 2^10756100061 is an apocalyptic number.

It is an amenable number.

10756100061 is a deficient number, since it is larger than the sum of its proper divisors (7213939299).

10756100061 is a wasteful number, since it uses less digits than its factorization.

10756100061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057105 (or 2057102 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 10756100061 its reverse (16000165701), we get a palindrome (26756265762).

The spelling of 10756100061 in words is "ten billion, seven hundred fifty-six million, one hundred thousand, sixty-one".