100782147 has 16 divisors (see below), whose sum is σ = 141668352. Its totient is φ = 63634560.

The previous prime is 100782139. The next prime is 100782161. The reversal of 100782147 is 741287001.

It is not a de Polignac number, because 100782147 - 2³ = 100782139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100782167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7158 + ... + 15899.

It is an arithmetic number, because the mean of its divisors is an integer number (8854272).

Almost surely, 2^100782147 is an apocalyptic number.

100782147 is a deficient number, since it is larger than the sum of its proper divisors (40886205).

100782147 is a wasteful number, since it uses less digits than its factorization.

100782147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23138.

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 100782147 is about 10039.0311783558. The cubic root of 100782147 is about 465.3658769154.

The spelling of 100782147 in words is "one hundred million, seven hundred eighty-two thousand, one hundred forty-seven".