47084660100 has 135 divisors (see below), whose sum is σ = 152693198581. Its totient is φ = 12550701600.

The previous prime is 47084660087. The next prime is 47084660111. The reversal of 47084660100 is 106648074.

The square root of 47084660100 is 216990.

It is a perfect power (a square), and thus also a powerful number.

47084660100 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 46 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16950477636 + 30134182464 = 130194^2 + 173592^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19527895 + ... + 19530305.

Almost surely, 2^47084660100 is an apocalyptic number.

47084660100 is the 216990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47084660100

47084660100 is an abundant number, since it is smaller than the sum of its proper divisors (105608538481).

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

47084660100 is an equidigital number, since it uses as much as digits as its factorization.

47084660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 47084660100 by its sum of digits (36), we get a square (1695047763600 = 1301940²).

47084660100 divided by its sum of digits (36) gives a square (1307907225 = 36165²).

The spelling of 47084660100 in words is "forty-seven billion, eighty-four million, six hundred sixty thousand, one hundred".