105522342408 has 180 divisors, whose sum is σ = 344003703615. Its totient is φ = 30132702432.

The previous prime is 105522342391. The next prime is 105522342439. The reversal of 105522342408 is 804243225501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105522342408 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 223 + 424 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52761171204 + 52761171204 = 229698^2 + 229698^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229698.

It is a super-2 number, since 2×105522342408² (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, 57882985 + ... + 57884807.

Almost surely, 2^105522342408 is an apocalyptic number.

105522342408 is a gapful number since it is divisible by the number (18) 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 105522342408

105522342408 is an abundant number, since it is smaller than the sum of its proper divisors (238481361207).

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

105522342408 is an frugal number, since it uses more digits than its factorization.

105522342408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 105522342408 its reverse (804243225501), we get a palindrome (909765567909).

The spelling of 105522342408 in words is "one hundred five billion, five hundred twenty-two million, three hundred forty-two thousand, four hundred eight".