10105536168 has 432 divisors, whose sum is σ = 36539584380. Its totient is φ = 2505904128.

The previous prime is 10105536143. The next prime is 10105536173. The reversal of 10105536168 is 86163550101.

10105536168 is a `hidden beast` number, since 1 + 0 + 105 + 536 + 16 + 8 = 666.

10105536168 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 6 ways, for example, as 4635158724 + 5470377444 = 68082^2 + 73962^2 .

It is a super-2 number, since 2×10105536168² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 10135446 + ... + 10136442.

Almost surely, 2^10105536168 is an apocalyptic number.

10105536168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105536168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18269792190).

10105536168 is an abundant number, since it is smaller than the sum of its proper divisors (26434048212).

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

10105536168 is a wasteful number, since it uses less digits than its factorization.

10105536168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10105536168 in words is "ten billion, one hundred five million, five hundred thirty-six thousand, one hundred sixty-eight".