61166600100 has 216 divisors, whose sum is σ = 203974007328. Its totient is φ = 15278054400.

The previous prime is 61166600069. The next prime is 61166600107. The reversal of 61166600100 is 100666116.

It is not an unprimeable number, because it can be changed into a prime (61166600107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3218827 + ... + 3237773.

It is an arithmetic number, because the mean of its divisors is an integer number (944324108).

Almost surely, 2^61166600100 is an apocalyptic number.

61166600100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61166600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101987003664).

61166600100 is an abundant number, since it is smaller than the sum of its proper divisors (142807407228).

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

61166600100 is a wasteful number, since it uses less digits than its factorization.

61166600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19195 (or 19185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 61166600100 in words is "sixty-one billion, one hundred sixty-six million, six hundred thousand, one hundred".