47080100 has 72 divisors (see below), whose sum is σ = 109368000. Its totient is φ = 17539200.

The previous prime is 47080093. The next prime is 47080127. The reversal of 47080100 is 108074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134726 + ... + 135074.

It is an arithmetic number, because the mean of its divisors is an integer number (1519000).

Almost surely, 2^47080100 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 47080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684000).

47080100 is an abundant number, since it is smaller than the sum of its proper divisors (62287900).

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

47080100 is a wasteful number, since it uses less digits than its factorization.

47080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 47080100 is about 6861.4940064100. The cubic root of 47080100 is about 361.0875036945.

Adding to 47080100 its reverse (108074), we get a palindrome (47188174).

The spelling of 47080100 in words is "forty-seven million, eighty thousand, one hundred".