105540561540 has 144 divisors (see below), whose sum is σ = 325683998640. Its totient is φ = 27657584640.

The previous prime is 105540561499. The next prime is 105540561569. The reversal of 105540561540 is 45165045501.

105540561540 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 40 + 561 + 54 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9640097856 + 95900463684 = 98184^2 + 309678^2 .

It is a super-2 number, since 2×105540561540² (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 a junction number, because it is equal to n+sod(n) for n = 105540561495 and 105540561504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14149492 + ... + 14156948.

It is an arithmetic number, because the mean of its divisors is an integer number (2261694435).

Almost surely, 2^105540561540 is an apocalyptic number.

105540561540 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 105540561540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162841999320).

105540561540 is an abundant number, since it is smaller than the sum of its proper divisors (220143437100).

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

105540561540 is a wasteful number, since it uses less digits than its factorization.

105540561540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105540561540 in words is "one hundred five billion, five hundred forty million, five hundred sixty-one thousand, five hundred forty".