105556061040 has 80 divisors (see below), whose sum is σ = 344446108800. Its totient is φ = 26666793216.

The previous prime is 105556061027. The next prime is 105556061041. The reversal of 105556061040 is 40160655501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105556061040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105556060992 and 105556061010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105556061041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11569570 + ... + 11578689.

It is an arithmetic number, because the mean of its divisors is an integer number (4305576360).

Almost surely, 2^105556061040 is an apocalyptic number.

105556061040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105556061040 is an abundant number, since it is smaller than the sum of its proper divisors (238890047760).

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

105556061040 is a wasteful number, since it uses less digits than its factorization.

105556061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23148294 (or 23148288 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 105556061040 in words is "one hundred five billion, five hundred fifty-six million, sixty-one thousand, forty".