100149 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 54000.

The previous prime is 100129. The next prime is 100151. The reversal of 100149 is 941001.

It is not a de Polignac number, because 100149 - 2¹¹ = 98101 is a prime.

100149 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100149.

It is not an unprimeable number, because it can be changed into a prime (100109) 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, 274 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁰⁰¹⁴⁹ is an apocalyptic number.

100149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100149 is a deficient number, since it is larger than the sum of its proper divisors (61131).

100149 is a wasteful number, since it uses less digits than its factorization.

100149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100149 is about 316.4632680107. The cubic root of 100149 is about 46.4389301204.

The spelling of 100149 in words is "one hundred thousand, one hundred forty-nine".