610060560100 has 72 divisors (see below), whose sum is σ = 1402103462760. Its totient is φ = 229604382720.

The previous prime is 610060560091. The next prime is 610060560101. The reversal of 610060560100 is 1065060016.

It can be written as a sum of positive squares in 12 ways, for example, as 440641060864 + 169419499236 = 663808^2 + 411606^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (610060560101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6133566 + ... + 6232234.

It is an arithmetic number, because the mean of its divisors is an integer number (19473659205).

Almost surely, 2^610060560100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610060560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701051731380).

610060560100 is an abundant number, since it is smaller than the sum of its proper divisors (792042902660).

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

610060560100 is a wasteful number, since it uses less digits than its factorization.

610060560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102337 (or 102330 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 610060560100 in words is "six hundred ten billion, sixty million, five hundred sixty thousand, one hundred".