47766105 has 40 divisors (see below), whose sum is σ = 87120000. Its totient is φ = 25030944.

The previous prime is 47766049. The next prime is 47766119. The reversal of 47766105 is 50166774.

It is not a de Polignac number, because 47766105 - 2²⁰ = 46717529 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47766105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22896 + ... + 24894.

It is an arithmetic number, because the mean of its divisors is an integer number (2178000).

Almost surely, 2^47766105 is an apocalyptic number.

47766105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47766105 is a deficient number, since it is larger than the sum of its proper divisors (39353895).

47766105 is a wasteful number, since it uses less digits than its factorization.

47766105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47766105 is about 6911.3026992022. The cubic root of 47766105 is about 362.8328579607.

The spelling of 47766105 in words is "forty-seven million, seven hundred sixty-six thousand, one hundred five".