61356100 has 72 divisors (see below), whose sum is σ = 145034120. Its totient is φ = 22394880.

The previous prime is 61356091. The next prime is 61356133. The reversal of 61356100 is 165316.

It can be written as a sum of positive squares in 12 ways, for example, as 34668544 + 26687556 = 5888^2 + 5166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141484 + ... + 141916.

Almost surely, 2^61356100 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 61356100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72517060).

61356100 is an abundant number, since it is smaller than the sum of its proper divisors (83678020).

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

61356100 is a wasteful number, since it uses less digits than its factorization.

61356100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 61356100 is about 7833.0134686467. The cubic root of 61356100 is about 394.4142361901.

The spelling of 61356100 in words is "sixty-one million, three hundred fifty-six thousand, one hundred".