61828100 has 36 divisors (see below), whose sum is σ = 135176244. Its totient is φ = 24545280.

The previous prime is 61828027. The next prime is 61828141. The reversal of 61828100 is 182816.

61828100 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 13191424 + 48636676 = 3632^2 + 6974^2 .

It is a super-2 number, since 2×61828100² = 7645427899220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61828100.

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, 11444 + ... + 15956.

Almost surely, 2^61828100 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 61828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67588122).

61828100 is an abundant number, since it is smaller than the sum of its proper divisors (73348144).

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

61828100 is a wasteful number, since it uses less digits than its factorization.

61828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 61828100 is about 7863.0846364515. The cubic root of 61828100 is about 395.4230366004.

The spelling of 61828100 in words is "sixty-one million, eight hundred twenty-eight thousand, one hundred".