61005600100 has 36 divisors (see below), whose sum is σ = 132479716068. Its totient is φ = 24384256000.

The previous prime is 61005600067. The next prime is 61005600101. The reversal of 61005600100 is 100650016.

61005600100 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 9359401536 + 51646198564 = 96744^2 + 227258^2 .

It is a super-2 number, since 2×61005600100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61005600101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88021 + ... + 360220.

It is an arithmetic number, because the mean of its divisors is an integer number (3679992113).

Almost surely, 2^61005600100 is an apocalyptic number.

It is an amenable number.

61005600100 is an abundant number, since it is smaller than the sum of its proper divisors (71474115968).

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

61005600100 is a wasteful number, since it uses less digits than its factorization.

61005600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449616 (or 449609 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 61005600100 in words is "sixty-one billion, five million, six hundred thousand, one hundred".