105706162332 has 144 divisors (see below), whose sum is σ = 285824448000. Its totient is φ = 32844123648.

The previous prime is 105706162297. The next prime is 105706162337. The reversal of 105706162332 is 233261607501.

105706162332 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 0 + 616 + 2 + 3 + 32 = 666.

It is a super-2 number, since 2×105706162332² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105706162337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10738669 + ... + 10748507.

It is an arithmetic number, because the mean of its divisors is an integer number (1984892000).

Almost surely, 2^105706162332 is an apocalyptic number.

105706162332 is a gapful number since it is divisible by the number (12) 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 105706162332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142912224000).

105706162332 is an abundant number, since it is smaller than the sum of its proper divisors (180118285668).

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

105706162332 is a wasteful number, since it uses less digits than its factorization.

105706162332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 105706162332 its reverse (233261607501), we get a palindrome (338967769833).

The spelling of 105706162332 in words is "one hundred five billion, seven hundred six million, one hundred sixty-two thousand, three hundred thirty-two".