105635666136 has 256 divisors, whose sum is σ = 354940185600. Its totient is φ = 25301606400.

The previous prime is 105635666117. The next prime is 105635666137. The reversal of 105635666136 is 631666536501.

It is a super-2 number, since 2×105635666136² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105635666137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35578060 + ... + 35581028.

It is an arithmetic number, because the mean of its divisors is an integer number (1386485100).

Almost surely, 2^105635666136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105635666136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177470092800).

105635666136 is an abundant number, since it is smaller than the sum of its proper divisors (249304519464).

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

105635666136 is a wasteful number, since it uses less digits than its factorization.

105635666136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 105635666136 in words is "one hundred five billion, six hundred thirty-five million, six hundred sixty-six thousand, one hundred thirty-six".