105422040540 has 96 divisors (see below), whose sum is σ = 342239708160. Its totient is φ = 26890256448.

The previous prime is 105422040527. The next prime is 105422040587. The reversal of 105422040540 is 45040224501.

105422040540 is a `hidden beast` number, since 10 + 54 + 2 + 20 + 40 + 540 = 666.

It is a super-2 number, since 2×105422040540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4231624 + ... + 4256463.

It is an arithmetic number, because the mean of its divisors is an integer number (3564996960).

Almost surely, 2^105422040540 is an apocalyptic number.

105422040540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105422040540 is an abundant number, since it is smaller than the sum of its proper divisors (236817667620).

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

105422040540 is a wasteful number, since it uses less digits than its factorization.

105422040540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488128 (or 8488120 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 105422040540 in words is "one hundred five billion, four hundred twenty-two million, forty thousand, five hundred forty".