101998249 has 16 divisors (see below), whose sum is σ = 112248720. Its totient is φ = 92252160.

The previous prime is 101998241. The next prime is 101998271. The reversal of 101998249 is 942899101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 129600 + 101868649 = 360^2 + 10093^2 .

It is a cyclic number.

It is not a de Polignac number, because 101998249 - 2³ = 101998241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101998241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153979 + ... + 154639.

It is an arithmetic number, because the mean of its divisors is an integer number (7015545).

Almost surely, 2^101998249 is an apocalyptic number.

It is an amenable number.

101998249 is a deficient number, since it is larger than the sum of its proper divisors (10250471).

101998249 is a wasteful number, since it uses less digits than its factorization.

101998249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020.

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 101998249 is about 10099.4182505727. The cubic root of 101998249 is about 467.2301992099.

The spelling of 101998249 in words is "one hundred one million, nine hundred ninety-eight thousand, two hundred forty-nine".