61108200 has 144 divisors (see below), whose sum is σ = 217402380. Its totient is φ = 15329280.

The previous prime is 61108193. The next prime is 61108207. The reversal of 61108200 is 280116.

It is an interprime number because it is at equal distance from previous prime (61108193) and next prime (61108207).

It can be written as a sum of positive squares in 6 ways, for example, as 12916836 + 48191364 = 3594^2 + 6942^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (61108207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29602 + ... + 31598.

Almost surely, 2^61108200 is an apocalyptic number.

61108200 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 61108200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108701190).

61108200 is an abundant number, since it is smaller than the sum of its proper divisors (156294180).

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

61108200 is a wasteful number, since it uses less digits than its factorization.

61108200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 61108200 is about 7817.1734021960. The cubic root of 61108200 is about 393.8823289166.

Adding to 61108200 its reverse (280116), we get a palindrome (61388316).

The spelling of 61108200 in words is "sixty-one million, one hundred eight thousand, two hundred".