106205361360 has 320 divisors, whose sum is σ = 394740449280. Its totient is φ = 23107553280.

The previous prime is 106205361343. The next prime is 106205361391. The reversal of 106205361360 is 63163502601.

It is a super-2 number, since 2×106205361360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3443769 + ... + 3474471.

It is an arithmetic number, because the mean of its divisors is an integer number (1233563904).

Almost surely, 2^106205361360 is an apocalyptic number.

106205361360 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 106205361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197370224640).

106205361360 is an abundant number, since it is smaller than the sum of its proper divisors (288535087920).

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

106205361360 is a wasteful number, since it uses less digits than its factorization.

106205361360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30826 (or 30820 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 106205361360 its reverse (63163502601), we get a palindrome (169368863961).

The spelling of 106205361360 in words is "one hundred six billion, two hundred five million, three hundred sixty-one thousand, three hundred sixty".