105536664135 has 192 divisors, whose sum is σ = 219967488000. Its totient is φ = 45792552960.

The previous prime is 105536664131. The next prime is 105536664169. The reversal of 105536664135 is 531466635501.

It is a happy number.

It is not a de Polignac number, because 105536664135 - 2² = 105536664131 is a prime.

It is a super-2 number, since 2×105536664135² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536664131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 220326826 + ... + 220327304.

It is an arithmetic number, because the mean of its divisors is an integer number (1145664000).

Almost surely, 2^105536664135 is an apocalyptic number.

105536664135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105536664135 is an abundant number, since it is smaller than the sum of its proper divisors (114430823865).

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

105536664135 is a wasteful number, since it uses less digits than its factorization.

105536664135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 105536664135 in words is "one hundred five billion, five hundred thirty-six million, six hundred sixty-four thousand, one hundred thirty-five".