105560073040 has 40 divisors (see below), whose sum is σ = 245514328488. Its totient is φ = 42209034240.

The previous prime is 105560073029. The next prime is 105560073043. The reversal of 105560073040 is 40370065501.

It can be written as a sum of positive squares in 4 ways, for example, as 7480866064 + 98079206976 = 86492^2 + 313176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105560073040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105560072993 and 105560073011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105560073043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6241 + ... + 459520.

Almost surely, 2^105560073040 is an apocalyptic number.

105560073040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105560073040 is an abundant number, since it is smaller than the sum of its proper divisors (139954255448).

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

105560073040 is a wasteful number, since it uses less digits than its factorization.

105560073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468607 (or 468601 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 105560073040 in words is "one hundred five billion, five hundred sixty million, seventy-three thousand, forty".