61105000 has 120 divisors (see below), whose sum is σ = 158925690. Its totient is φ = 22000000.

The previous prime is 61104991. The next prime is 61105003. The reversal of 61105000 is 50116.

It can be written as a sum of positive squares in 5 ways, for example, as 9351364 + 51753636 = 3058^2 + 7194^2 .

It is not an unprimeable number, because it can be changed into a prime (61105003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 604950 + ... + 605050.

Almost surely, 2^61105000 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 61105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79462845).

61105000 is an abundant number, since it is smaller than the sum of its proper divisors (97820690).

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

61105000 is a wasteful number, since it uses less digits than its factorization.

61105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 61105000 is about 7816.9687219535. The cubic root of 61105000 is about 393.8754534320.

Adding to 61105000 its reverse (50116), we get a palindrome (61155116).

The spelling of 61105000 in words is "sixty-one million, one hundred five thousand".