105022350540 has 72 divisors (see below), whose sum is σ = 319752210960. Its totient is φ = 27901835904.

The previous prime is 105022350443. The next prime is 105022350569. The reversal of 105022350540 is 45053220501.

It is a happy number.

105022350540 is a `hidden beast` number, since 1 + 0 + 50 + 2 + 23 + 50 + 540 = 666.

It is a super-2 number, since 2×105022350540² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1036074 + ... + 1132913.

It is an arithmetic number, because the mean of its divisors is an integer number (4441002930).

Almost surely, 2^105022350540 is an apocalyptic number.

105022350540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105022350540 is an abundant number, since it is smaller than the sum of its proper divisors (214729860420).

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

105022350540 is a wasteful number, since it uses less digits than its factorization.

105022350540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169271 (or 2169266 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 105022350540 in words is "one hundred five billion, twenty-two million, three hundred fifty thousand, five hundred forty".