61105120 has 48 divisors (see below), whose sum is σ = 146830320. Its totient is φ = 24024064.

The previous prime is 61105087. The next prime is 61105127. The reversal of 61105120 is 2150116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 61105094 and 61105103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61105127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6204 + ... + 12676.

It is an arithmetic number, because the mean of its divisors is an integer number (3058965).

Almost surely, 2^61105120 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 61105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73415160).

61105120 is an abundant number, since it is smaller than the sum of its proper divisors (85725200).

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

61105120 is a wasteful number, since it uses less digits than its factorization.

61105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 61105120 is about 7816.9763975594. The cubic root of 61105120 is about 393.8757112670.

Adding to 61105120 its reverse (2150116), we get a palindrome (63255236).

The spelling of 61105120 in words is "sixty-one million, one hundred five thousand, one hundred twenty".