61882100 has 108 divisors (see below), whose sum is σ = 159263244. Its totient is φ = 20805120.

The previous prime is 61882099. The next prime is 61882129. The reversal of 61882100 is 128816.

It can be written as a sum of positive squares in 6 ways, for example, as 1073296 + 60808804 = 1036^2 + 7798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61882100.

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, 357614 + ... + 357786.

Almost surely, 2^61882100 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 61882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79631622).

61882100 is an abundant number, since it is smaller than the sum of its proper divisors (97381144).

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

61882100 is a wasteful number, since it uses less digits than its factorization.

61882100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

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

The square root of 61882100 is about 7866.5176539559. The cubic root of 61882100 is about 395.5381225163.

The spelling of 61882100 in words is "sixty-one million, eight hundred eighty-two thousand, one hundred".