100185147 has 8 divisors (see below), whose sum is σ = 148422480. Its totient is φ = 66790080.

The previous prime is 100185139. The next prime is 100185161. The reversal of 100185147 is 741581001.

It is not a de Polignac number, because 100185147 - 2³ = 100185139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3710561 = 100185147 / (1 + 0 + 0 + 1 + 8 + 5 + 1 + 4 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 100185147.

It is not an unprimeable number, because it can be changed into a prime (100185647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1855254 + ... + 1855307.

It is an arithmetic number, because the mean of its divisors is an integer number (18552810).

Almost surely, 2^100185147 is an apocalyptic number.

100185147 is a deficient number, since it is larger than the sum of its proper divisors (48237333).

100185147 is an equidigital number, since it uses as much as digits as its factorization.

100185147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710570 (or 3710564 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 100185147 is about 10009.2530690357. The cubic root of 100185147 is about 464.4451655022.

The spelling of 100185147 in words is "one hundred million, one hundred eighty-five thousand, one hundred forty-seven".