61050560100 has 144 divisors (see below), whose sum is σ = 179388518400. Its totient is φ = 16027989120.

The previous prime is 61050560099. The next prime is 61050560101. The reversal of 61050560100 is 106505016.

It is an interprime number because it is at equal distance from previous prime (61050560099) and next prime (61050560101).

It is not an unprimeable number, because it can be changed into a prime (61050560101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8694391 + ... + 8701409.

It is an arithmetic number, because the mean of its divisors is an integer number (1245753600).

Almost surely, 2^61050560100 is an apocalyptic number.

61050560100 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 61050560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89694259200).

61050560100 is an abundant number, since it is smaller than the sum of its proper divisors (118337958300).

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

61050560100 is a wasteful number, since it uses less digits than its factorization.

61050560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 61050560100 in words is "sixty-one billion, fifty million, five hundred sixty thousand, one hundred".