10105111010 has 8 divisors (see below), whose sum is σ = 18189199836. Its totient is φ = 4042044400.

The previous prime is 10105111007. The next prime is 10105111021. The reversal of 10105111010 is 1011150101.

It is a happy number.

10105111010 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 9520100041 + 585010969 = 97571^2 + 24187^2 .

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

It is a super-2 number, since 2×10105111010² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105110982 and 10105111000.

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, 505255541 + ... + 505255560.

Almost surely, 2^10105111010 is an apocalyptic number.

10105111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105111010 is a deficient number, since it is larger than the sum of its proper divisors (8084088826).

10105111010 is a wasteful number, since it uses less digits than its factorization.

10105111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010511108.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 10105111010 its reverse (1011150101), we get a palindrome (11116261111).

The spelling of 10105111010 in words is "ten billion, one hundred five million, one hundred eleven thousand, ten".