105500202030 has 128 divisors (see below), whose sum is σ = 285956697600. Its totient is φ = 28019844000.

The previous prime is 105500201999. The next prime is 105500202037. The reversal of 105500202030 is 30202005501.

It is a happy number.

It is a super-2 number, since 2×105500202030² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105500201994 and 105500202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500202037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5479761 + ... + 5498979.

It is an arithmetic number, because the mean of its divisors is an integer number (2234036700).

Almost surely, 2^105500202030 is an apocalyptic number.

105500202030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142978348800).

105500202030 is an abundant number, since it is smaller than the sum of its proper divisors (180456495570).

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

105500202030 is an equidigital number, since it uses as much as digits as its factorization.

105500202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498 (or 19480 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 105500202030 its reverse (30202005501), we get a palindrome (135702207531).

The spelling of 105500202030 in words is "one hundred five billion, five hundred million, two hundred two thousand, thirty".