47006100 has 108 divisors (see below), whose sum is σ = 152503260. Its totient is φ = 12096000.

The previous prime is 47006093. The next prime is 47006101. The reversal of 47006100 is 160074.

It can be written as a sum of positive squares in 6 ways, for example, as 5171076 + 41835024 = 2274^2 + 6468^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47006101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25200 + ... + 27000.

Almost surely, 2^47006100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76251630).

47006100 is an abundant number, since it is smaller than the sum of its proper divisors (105497160).

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

47006100 is a wasteful number, since it uses less digits than its factorization.

47006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 47006100 is about 6856.0994741908. The cubic root of 47006100 is about 360.8982199903.

Adding to 47006100 its reverse (160074), we get a palindrome (47166174).

The spelling of 47006100 in words is "forty-seven million, six thousand, one hundred".