61550100 has 54 divisors (see below), whose sum is σ = 192928190. Its totient is φ = 16413120.

The previous prime is 61550087. The next prime is 61550117. The reversal of 61550100 is 105516.

61550100 is a `hidden beast` number, since 615 + 50 + 1 + 0 + 0 = 666.

61550100 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 10227204 + 51322896 = 3198^2 + 7164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 33295 + ... + 35094.

Almost surely, 2^61550100 is an apocalyptic number.

61550100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61550100 is an abundant number, since it is smaller than the sum of its proper divisors (131378090).

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

61550100 is a wasteful number, since it uses less digits than its factorization.

61550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68409 (or 68399 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 61550100 is about 7845.3871797382. The cubic root of 61550100 is about 394.8294943212.

Adding to 61550100 its reverse (105516), we get a palindrome (61655616).

The spelling of 61550100 in words is "sixty-one million, five hundred fifty thousand, one hundred".