105098234220 has 288 divisors, whose sum is σ = 381400621056. Its totient is φ = 22919500800.

The previous prime is 105098234201. The next prime is 105098234233. The reversal of 105098234220 is 22432890501.

It is a happy number.

105098234220 is a `hidden beast` number, since 10 + 509 + 82 + 3 + 42 + 20 = 666.

It is a super-2 number, since 2×105098234220² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2754312 + ... + 2792208.

It is an arithmetic number, because the mean of its divisors is an integer number (1324307712).

Almost surely, 2^105098234220 is an apocalyptic number.

105098234220 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 105098234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190700310528).

105098234220 is an abundant number, since it is smaller than the sum of its proper divisors (276302386836).

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

105098234220 is a wasteful number, since it uses less digits than its factorization.

105098234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38021 (or 38016 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105098234220 in words is "one hundred five billion, ninety-eight million, two hundred thirty-four thousand, two hundred twenty".