10105105501051 has 16 divisors (see below), whose sum is σ = 11071064332800. Its totient is φ = 9147072808800.

The previous prime is 10105105501009. The next prime is 10105105501109. The reversal of 10105105501051 is 15010550150101.

It is a cyclic number.

It is not a de Polignac number, because 10105105501051 - 2⁷ = 10105105500923 is a prime.

It is a super-2 number, since 2×10105105501051² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105105504051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3959760 + ... + 5990818.

It is an arithmetic number, because the mean of its divisors is an integer number (691941520800).

Almost surely, 2^{10105105501051} is an apocalyptic number.

10105105501051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10105105501051 is a deficient number, since it is larger than the sum of its proper divisors (965958831749).

10105105501051 is a wasteful number, since it uses less digits than its factorization.

10105105501051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033010.

The product of its (nonzero) digits is 625, while the sum is 25.

Adding to 10105105501051 its reverse (15010550150101), we get a palindrome (25115655651152).

The spelling of 10105105501051 in words is "ten trillion, one hundred five billion, one hundred five million, five hundred one thousand, fifty-one".