61311100 has 108 divisors (see below), whose sum is σ = 148801240. Its totient is φ = 21859200.

The previous prime is 61311091. The next prime is 61311137. The reversal of 61311100 is 111316.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1005070 + ... + 1005130.

Almost surely, 2^61311100 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 61311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400620).

61311100 is an abundant number, since it is smaller than the sum of its proper divisors (87490140).

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

61311100 is a wasteful number, since it uses less digits than its factorization.

61311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 61311100 is about 7830.1404840526. The cubic root of 61311100 is about 394.3177883961.

Adding to 61311100 its reverse (111316), we get a palindrome (61422416).

The spelling of 61311100 in words is "sixty-one million, three hundred eleven thousand, one hundred".