61216100 has 144 divisors (see below), whose sum is σ = 159364800. Its totient is φ = 20160000.

The previous prime is 61216063. The next prime is 61216153. The reversal of 61216100 is 161216.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606050 + ... + 606150.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^61216100 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 61216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

61216100 is an abundant number, since it is smaller than the sum of its proper divisors (98148700).

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

61216100 is a wasteful number, since it uses less digits than its factorization.

61216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 61216100 is about 7824.0718299361. The cubic root of 61216100 is about 394.1140212998.

Adding to 61216100 its reverse (161216), we get a palindrome (61377316).

It can be divided in two parts, 61216 and 100, that added together give a palindrome (61316).

The spelling of 61216100 in words is "sixty-one million, two hundred sixteen thousand, one hundred".