61047443106 has 72 divisors (see below), whose sum is σ = 143955145620. Its totient is φ = 18688295808.

The previous prime is 61047443081. The next prime is 61047443131. The reversal of 61047443106 is 60134474016.

61047443106 is a `hidden beast` number, since 6 + 104 + 7 + 443 + 106 = 666.

61047443106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61047443081) and next prime (61047443131).

It can be written as a sum of positive squares in 6 ways, for example, as 18140049225 + 42907393881 = 134685^2 + 207141^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548340 + ... + 650208.

Almost surely, 2^61047443106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61047443106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71977572810).

61047443106 is an abundant number, since it is smaller than the sum of its proper divisors (82907702514).

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

61047443106 is a wasteful number, since it uses less digits than its factorization.

61047443106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102100 (or 102084 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 61047443106 in words is "sixty-one billion, forty-seven million, four hundred forty-three thousand, one hundred six".