61109000 has 64 divisors (see below), whose sum is σ = 145819440. Its totient is φ = 23961600.

The previous prime is 61108981. The next prime is 61109021. The reversal of 61109000 is 90116.

It can be written as a sum of positive squares in 8 ways, for example, as 11519236 + 49589764 = 3394^2 + 7042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61109000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52424 + ... + 53576.

Almost surely, 2^61109000 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 61109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72909720).

61109000 is an abundant number, since it is smaller than the sum of its proper divisors (84710440).

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

61109000 is a wasteful number, since it uses less digits than its factorization.

61109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 61109000 is about 7817.2245714192. The cubic root of 61109000 is about 393.8840477502.

Adding to 61109000 its reverse (90116), we get a palindrome (61199116).

The spelling of 61109000 in words is "sixty-one million, one hundred nine thousand".