61314100 has 18 divisors (see below), whose sum is σ = 133051814. Its totient is φ = 24525600.

The previous prime is 61314079. The next prime is 61314101. The reversal of 61314100 is 141316.

61314100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 910116 + 60403984 = 954^2 + 7772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61314101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306471 + ... + 306670.

Almost surely, 2^61314100 is an apocalyptic number.

It is an amenable number.

61314100 is an abundant number, since it is smaller than the sum of its proper divisors (71737714).

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

61314100 is a wasteful number, since it uses less digits than its factorization.

61314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613155 (or 613148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 61314100 is about 7830.3320491535. The cubic root of 61314100 is about 394.3242197169.

Adding to 61314100 its reverse (141316), we get a palindrome (61455416).

The spelling of 61314100 in words is "sixty-one million, three hundred fourteen thousand, one hundred".