105606100060 has 24 divisors (see below), whose sum is σ = 224896373856. Its totient is φ = 41647475520.

The previous prime is 105606100037. The next prime is 105606100069. The reversal of 105606100060 is 60001606501.

It is a super-3 number, since 3×105606100060³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105606099998 and 105606100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606100069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37183827 + ... + 37186666.

It is an arithmetic number, because the mean of its divisors is an integer number (9370682244).

Almost surely, 2^105606100060 is an apocalyptic number.

105606100060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105606100060 is an abundant number, since it is smaller than the sum of its proper divisors (119290273796).

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

105606100060 is a wasteful number, since it uses less digits than its factorization.

105606100060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74370573 (or 74370571 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 105606100060 its reverse (60001606501), we get a palindrome (165607706561).

The spelling of 105606100060 in words is "one hundred five billion, six hundred six million, one hundred thousand, sixty".