100105047 has 24 divisors (see below), whose sum is σ = 166129184. Its totient is φ = 56899584.

The previous prime is 100105037. The next prime is 100105063. The reversal of 100105047 is 740501001.

It is not a de Polignac number, because 100105047 - 2⁷ = 100104919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8043 + ... + 16275.

Almost surely, 2^100105047 is an apocalyptic number.

100105047 is a deficient number, since it is larger than the sum of its proper divisors (66024137).

100105047 is a wasteful number, since it uses less digits than its factorization.

100105047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8439 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100105047 is about 10005.2509713650. The cubic root of 100105047 is about 464.3213548115.

Adding to 100105047 its reverse (740501001), we get a palindrome (840606048).

The spelling of 100105047 in words is "one hundred million, one hundred five thousand, forty-seven".