601060100 has 72 divisors (see below), whose sum is σ = 1334034408. Its totient is φ = 235008000.

The previous prime is 601060087. The next prime is 601060129. The reversal of 601060100 is 1060106.

It can be written as a sum of positive squares in 12 ways, for example, as 42588676 + 558471424 = 6526^2 + 23632^2 .

It is a super-3 number, since 3×601060100³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999800 + ... + 1000400.

Almost surely, 2^601060100 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 601060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667017204).

601060100 is an abundant number, since it is smaller than the sum of its proper divisors (732974308).

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

601060100 is a wasteful number, since it uses less digits than its factorization.

601060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 601060100 is about 24516.5270786871. The cubic root of 601060100 is about 843.9291080218.

The spelling of 601060100 in words is "six hundred one million, sixty thousand, one hundred".