105403440215220 has 192 divisors, whose sum is σ = 339822929166336. Its totient is φ = 23912039600640.

The previous prime is 105403440215201. The next prime is 105403440215237. The reversal of 105403440215220 is 22512044304501.

It is a super-2 number, since 2×105403440215220² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28174102 + ... + 31695218.

It is an arithmetic number, because the mean of its divisors is an integer number (1769911089408).

Almost surely, 2^{105403440215220} is an apocalyptic number.

105403440215220 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 105403440215220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169911464583168).

105403440215220 is an abundant number, since it is smaller than the sum of its proper divisors (234419488951116).

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

105403440215220 is a wasteful number, since it uses less digits than its factorization.

105403440215220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521670 (or 3521668 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 105403440215220 its reverse (22512044304501), we get a palindrome (127915484519721).

The spelling of 105403440215220 in words is "one hundred five trillion, four hundred three billion, four hundred forty million, two hundred fifteen thousand, two hundred twenty".