61044100 has 36 divisors (see below), whose sum is σ = 142658404. Its totient is φ = 22538880.

The previous prime is 61044091. The next prime is 61044119. The reversal of 61044100 is 144016.

It is a happy number.

61044100 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 6 ways, for example, as 11819844 + 49224256 = 3438^2 + 7016^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22179 + ... + 24778.

Almost surely, 2^61044100 is an apocalyptic number.

It is an amenable number.

61044100 is an abundant number, since it is smaller than the sum of its proper divisors (81614304).

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

61044100 is a wasteful number, since it uses less digits than its factorization.

61044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46984 (or 46977 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 61044100 is about 7813.0723790325. The cubic root of 61044100 is about 393.7445585878.

Adding to 61044100 its reverse (144016), we get a palindrome (61188116).

The spelling of 61044100 in words is "sixty-one million, forty-four thousand, one hundred".