105601010560 has 64 divisors (see below), whose sum is σ = 254952100800. Its totient is φ = 41822156800.

The previous prime is 105601010551. The next prime is 105601010569. The reversal of 105601010560 is 65010106501.

It is an interprime number because it is at equal distance from previous prime (105601010551) and next prime (105601010569).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105601010560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105601010569) 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, 752200 + ... + 881479.

It is an arithmetic number, because the mean of its divisors is an integer number (3983626575).

Almost surely, 2^105601010560 is an apocalyptic number.

105601010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105601010560 is an abundant number, since it is smaller than the sum of its proper divisors (149351090240).

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

105601010560 is a wasteful number, since it uses less digits than its factorization.

105601010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633799 (or 1633787 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 105601010560 in words is "one hundred five billion, six hundred one million, ten thousand, five hundred sixty".