105955102080 has 640 divisors, whose sum is σ = 402768828000. Its totient is φ = 26467762176.

The previous prime is 105955102013. The next prime is 105955102081. The reversal of 105955102080 is 80201559501.

It is a happy number.

105955102080 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 551 + 0 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×105955102080² (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 (105955102081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95540566 + ... + 95541674.

Almost surely, 2^105955102080 is an apocalyptic number.

105955102080 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 105955102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201384414000).

105955102080 is an abundant number, since it is smaller than the sum of its proper divisors (296813725920).

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

105955102080 is a wasteful number, since it uses less digits than its factorization.

105955102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 105955102080 in words is "one hundred five billion, nine hundred fifty-five million, one hundred two thousand, eighty".