105601500560 has 40 divisors (see below), whose sum is σ = 245637506616. Its totient is φ = 42220984320.

The previous prime is 105601500553. The next prime is 105601500569. The reversal of 105601500560 is 65005106501.

It can be written as a sum of positive squares in 4 ways, for example, as 5388734464 + 100212766096 = 73408^2 + 316564^2 .

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

It is a super-2 number, since 2×105601500560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105601500569) 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, 132539 + ... + 478298.

Almost surely, 2^105601500560 is an apocalyptic number.

105601500560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105601500560 is an abundant number, since it is smaller than the sum of its proper divisors (140036006056).

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

105601500560 is a wasteful number, since it uses less digits than its factorization.

105601500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613011 (or 613005 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105601500560 in words is "one hundred five billion, six hundred one million, five hundred thousand, five hundred sixty".