105655166000 has 80 divisors (see below), whose sum is σ = 255978571680. Its totient is φ = 42178630400.

The previous prime is 105655165963. The next prime is 105655166021. The reversal of 105655166000 is 661556501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105655166000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966107 + ... + 1069893.

It is an arithmetic number, because the mean of its divisors is an integer number (3199732146).

Almost surely, 2^105655166000 is an apocalyptic number.

105655166000 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 105655166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127989285840).

105655166000 is an abundant number, since it is smaller than the sum of its proper divisors (150323405680).

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

105655166000 is a wasteful number, since it uses less digits than its factorization.

105655166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104319 (or 104303 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 105655166000 in words is "one hundred five billion, six hundred fifty-five million, one hundred sixty-six thousand".