61438100 has 36 divisors (see below), whose sum is σ = 134525244. Its totient is φ = 24353280.

The previous prime is 61438067. The next prime is 61438127. The reversal of 61438100 is 183416.

61438100 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 10942864 + 50495236 = 3308^2 + 7106^2 .

It is a super-2 number, since 2×61438100² = 7549280263220000, which contains 22 as substring.

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, 8582 + ... + 14018.

Almost surely, 2^61438100 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 61438100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67262622).

61438100 is an abundant number, since it is smaller than the sum of its proper divisors (73087144).

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

61438100 is a wasteful number, since it uses less digits than its factorization.

61438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 61438100 is about 7838.2459772579. The cubic root of 61438100 is about 394.5898643137.

The spelling of 61438100 in words is "sixty-one million, four hundred thirty-eight thousand, one hundred".