105505555000 has 80 divisors (see below), whose sum is σ = 255174068160. Its totient is φ = 40840800000.

The previous prime is 105505554991. The next prime is 105505555003. The reversal of 105505555000 is 555505501.

It is a super-2 number, since 2×105505555000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505555003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 185341 + ... + 495340.

It is an arithmetic number, because the mean of its divisors is an integer number (3189675852).

Almost surely, 2^105505555000 is an apocalyptic number.

105505555000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505555000 is an abundant number, since it is smaller than the sum of its proper divisors (149668513160).

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

105505555000 is an equidigital number, since it uses as much as digits as its factorization.

105505555000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680738 (or 680719 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 31.

The spelling of 105505555000 in words is "one hundred five billion, five hundred five million, five hundred fifty-five thousand".