61101083600 has 60 divisors (see below), whose sum is σ = 148142205420. Its totient is φ = 24216192000.

The previous prime is 61101083597. The next prime is 61101083609. The reversal of 61101083600 is 638010116.

61101083600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 50580544 + 61050503056 = 7112^2 + 247084^2 .

It is a super-3 number, since 3×61101083600³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61101083600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61101083609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657101 + ... + 744300.

It is an arithmetic number, because the mean of its divisors is an integer number (2469036757).

Almost surely, 2^61101083600 is an apocalyptic number.

It is an amenable number.

61101083600 is an abundant number, since it is smaller than the sum of its proper divisors (87041121820).

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

61101083600 is a wasteful number, since it uses less digits than its factorization.

61101083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401528 (or 1401517 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 61101083600 its reverse (638010116), we get a palindrome (61739093716).

The spelling of 61101083600 in words is "sixty-one billion, one hundred one million, eighty-three thousand, six hundred".