105531706360 has 64 divisors (see below), whose sum is σ = 243984441600. Its totient is φ = 41051483136.

The previous prime is 105531706333. The next prime is 105531706367. The reversal of 105531706360 is 63607135501.

It is a super-2 number, since 2×105531706360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105531706367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3169881 + ... + 3202999.

It is an arithmetic number, because the mean of its divisors is an integer number (3812256900).

Almost surely, 2^105531706360 is an apocalyptic number.

105531706360 is a gapful number since it is divisible by the number (10) 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 105531706360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121992220800).

105531706360 is an abundant number, since it is smaller than the sum of its proper divisors (138452735240).

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

105531706360 is a wasteful number, since it uses less digits than its factorization.

105531706360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35320 (or 35316 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 105531706360 in words is "one hundred five billion, five hundred thirty-one million, seven hundred six thousand, three hundred sixty".