61105200 has 120 divisors (see below), whose sum is σ = 210851088. Its totient is φ = 15037440.

The previous prime is 61105199. The next prime is 61105201. The reversal of 61105200 is 250116.

It is an interprime number because it is at equal distance from previous prime (61105199) and next prime (61105201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 61105200.

It is not an unprimeable number, because it can be changed into a prime (61105201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13642 + ... + 17558.

Almost surely, 2^61105200 is an apocalyptic number.

61105200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105425544).

61105200 is an abundant number, since it is smaller than the sum of its proper divisors (149745888).

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

61105200 is a wasteful number, since it uses less digits than its factorization.

61105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 61105200 is about 7816.9815146257. The cubic root of 61105200 is about 393.8758831569.

Adding to 61105200 its reverse (250116), we get a palindrome (61355316).

The spelling of 61105200 in words is "sixty-one million, one hundred five thousand, two hundred".