61106200 has 48 divisors (see below), whose sum is σ = 142714080. Its totient is φ = 24332160.

The previous prime is 61106189. The next prime is 61106231. The reversal of 61106200 is 260116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54849 + ... + 55951.

It is an arithmetic number, because the mean of its divisors is an integer number (2973210).

Almost surely, 2^61106200 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 61106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71357040).

61106200 is an abundant number, since it is smaller than the sum of its proper divisors (81607880).

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

61106200 is a wasteful number, since it uses less digits than its factorization.

61106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 61106200 is about 7817.0454776725. The cubic root of 61106200 is about 393.8780317669.

Adding to 61106200 its reverse (260116), we get a palindrome (61366316).

It can be divided in two parts, 61 and 106200, that multiplied together give a triangular number (6478200 = T₃₅₉₉).

The spelling of 61106200 in words is "sixty-one million, one hundred six thousand, two hundred".