561010060100 has 108 divisors (see below), whose sum is σ = 1418467470084. Its totient is φ = 192031499520.

The previous prime is 561010060067. The next prime is 561010060207. The reversal of 561010060100 is 1060010165.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 330054846016 + 230955214084 = 574504^2 + 480578^2 .

It is a super-2 number, since 2×561010060100² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2910314 + ... + 3097086.

Almost surely, 2^561010060100 is an apocalyptic number.

561010060100 is a gapful number since it is divisible by the number (50) 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 561010060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709233735042).

561010060100 is an abundant number, since it is smaller than the sum of its proper divisors (857457409984).

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

561010060100 is a wasteful number, since it uses less digits than its factorization.

561010060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187414 (or 187400 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 561010060100 its reverse (1060010165), we get a palindrome (562070070265).

The spelling of 561010060100 in words is "five hundred sixty-one billion, ten million, sixty thousand, one hundred".