100420564560 has 160 divisors (see below), whose sum is σ = 315969026688. Its totient is φ = 26379386880.

The previous prime is 100420564513. The next prime is 100420564567. The reversal of 100420564560 is 65465024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420564567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7024620 + ... + 7038900.

Almost surely, 2^100420564560 is an apocalyptic number.

100420564560 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 100420564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157984513344).

100420564560 is an abundant number, since it is smaller than the sum of its proper divisors (215548462128).

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

100420564560 is a wasteful number, since it uses less digits than its factorization.

100420564560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14733 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 100420564560 its reverse (65465024001), we get a palindrome (165885588561).

The spelling of 100420564560 in words is "one hundred billion, four hundred twenty million, five hundred sixty-four thousand, five hundred sixty".