105500322562140 has 288 divisors, whose sum is σ = 364330627315200. Its totient is φ = 24461038103040.

The previous prime is 105500322562127. The next prime is 105500322562259. The reversal of 105500322562140 is 41265223005501.

105500322562140 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 0 + 3 + 2 + 25 + 621 + 4 + 0 = 666.

It is a super-2 number, since 2×105500322562140² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105500322562095 and 105500322562104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411052371 + ... + 411308949.

It is an arithmetic number, because the mean of its divisors is an integer number (1265036900400).

Almost surely, 2^{105500322562140} is an apocalyptic number.

105500322562140 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 105500322562140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182165313657600).

105500322562140 is an abundant number, since it is smaller than the sum of its proper divisors (258830304753060).

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

105500322562140 is a wasteful number, since it uses less digits than its factorization.

105500322562140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265657 (or 265652 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105500322562140 its reverse (41265223005501), we get a palindrome (146765545567641).

The spelling of 105500322562140 in words is "one hundred five trillion, five hundred billion, three hundred twenty-two million, five hundred sixty-two thousand, one hundred forty".