100530560 has 128 divisors (see below), whose sum is σ = 265779360. Its totient is φ = 36126720.

The previous prime is 100530557. The next prime is 100530569. The reversal of 100530560 is 65035001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100530569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357620 + ... + 357900.

Almost surely, 2^100530560 is an apocalyptic number.

100530560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132889680).

100530560 is an abundant number, since it is smaller than the sum of its proper divisors (165248800).

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

100530560 is a wasteful number, since it uses less digits than its factorization.

100530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 100530560 is about 10026.4929062958. The cubic root of 100530560 is about 464.9783163281.

Adding to 100530560 its reverse (65035001), we get a palindrome (165565561).

The spelling of 100530560 in words is "one hundred million, five hundred thirty thousand, five hundred sixty".