105510551105560 has 32 divisors (see below), whose sum is σ = 238970917087200. Its totient is φ = 41924722291200.

The previous prime is 105510551105521. The next prime is 105510551105569. The reversal of 105510551105560 is 65501155015501.

It is a happy number.

It is a super-2 number, since 2×105510551105560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105510551105569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8734311105 + ... + 8734323184.

It is an arithmetic number, because the mean of its divisors is an integer number (7467841158975).

Almost surely, 2^{105510551105560} is an apocalyptic number.

105510551105560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105510551105560 is an abundant number, since it is smaller than the sum of its proper divisors (133460365981640).

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

105510551105560 is a wasteful number, since it uses less digits than its factorization.

105510551105560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17468634451 (or 17468634447 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 40.

The spelling of 105510551105560 in words is "one hundred five trillion, five hundred ten billion, five hundred fifty-one million, one hundred five thousand, five hundred sixty".