10506001010 has 8 divisors (see below), whose sum is σ = 18910801836. Its totient is φ = 4202400400.

The previous prime is 10506000983. The next prime is 10506001021. The reversal of 10506001010 is 1010060501.

10506001010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9860688601 + 645312409 = 99301^2 + 25403^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10506001010² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 525300041 + ... + 525300060.

Almost surely, 2^10506001010 is an apocalyptic number.

10506001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506001010 is a deficient number, since it is larger than the sum of its proper divisors (8404800826).

10506001010 is a wasteful number, since it uses less digits than its factorization.

10506001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050600108.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 10506001010 its reverse (1010060501), we get a palindrome (11516061511).

The spelling of 10506001010 in words is "ten billion, five hundred six million, one thousand, ten".