101984272 has 20 divisors (see below), whose sum is σ = 212794540. Its totient is φ = 47069568.

The previous prime is 101984263. The next prime is 101984279. The reversal of 101984272 is 272489101.

It can be written as a sum of positive squares in 2 ways, for example, as 45373696 + 56610576 = 6736^2 + 7524^2 .

It is not an unprimeable number, because it can be changed into a prime (101984279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 244947 + ... + 245362.

It is an arithmetic number, because the mean of its divisors is an integer number (10639727).

Almost surely, 2^101984272 is an apocalyptic number.

It is an amenable number.

101984272 is an abundant number, since it is smaller than the sum of its proper divisors (110810268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101984272 is a wasteful number, since it uses less digits than its factorization.

101984272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490330 (or 490324 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 101984272 is about 10098.7262563157. The cubic root of 101984272 is about 467.2088564422.

The spelling of 101984272 in words is "one hundred one million, nine hundred eighty-four thousand, two hundred seventy-two".