105500201660 has 72 divisors (see below), whose sum is σ = 257864864544. Its totient is φ = 36151436160.

The previous prime is 105500201603. The next prime is 105500201669. The reversal of 105500201660 is 66102005501.

It is a super-2 number, since 2×105500201660² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500201669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794857 + ... + 1852703.

It is an arithmetic number, because the mean of its divisors is an integer number (3581456452).

Almost surely, 2^105500201660 is an apocalyptic number.

105500201660 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 105500201660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128932432272).

105500201660 is an abundant number, since it is smaller than the sum of its proper divisors (152364662884).

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

105500201660 is a wasteful number, since it uses less digits than its factorization.

105500201660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59731 (or 59722 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 105500201660 in words is "one hundred five billion, five hundred million, two hundred one thousand, six hundred sixty".