105840910224 has 225 divisors, whose sum is σ = 356624303211. Its totient is φ = 30216836160.

The previous prime is 105840910207. The next prime is 105840910309. The reversal of 105840910224 is 422019048501.

The square root of 105840910224 is 325332.

It is a perfect power (a square), and thus also a powerful number.

105840910224 is a `hidden beast` number, since 10 + 5 + 8 + 409 + 10 + 224 = 666.

It is a super-2 number, since 2×105840910224² (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 polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81983019 + ... + 81984309.

Almost surely, 2^105840910224 is an apocalyptic number.

105840910224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105840910224 is the 325332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105840910224

105840910224 is an abundant number, since it is smaller than the sum of its proper divisors (250783392987).

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

105840910224 is an frugal number, since it uses more digits than its factorization.

105840910224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 105840910224 by its sum of digits (36), we get a square (3810272768064 = 1951992²).

105840910224 divided by its sum of digits (36) gives a square (2940025284 = 54222²).

Adding to 105840910224 its reverse (422019048501), we get a palindrome (527859958725).

It can be divided in two parts, 105840 and 910224, that added together give a square (1016064 = 1008²).

The spelling of 105840910224 in words is "one hundred five billion, eight hundred forty million, nine hundred ten thousand, two hundred twenty-four".