101649248 has 48 divisors (see below), whose sum is σ = 211470336. Its totient is φ = 48021120.

The previous prime is 101649211. The next prime is 101649253. The reversal of 101649248 is 842946101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41465 + ... + 43847.

It is an arithmetic number, because the mean of its divisors is an integer number (4405632).

Almost surely, 2^101649248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101649248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105735168).

101649248 is an abundant number, since it is smaller than the sum of its proper divisors (109821088).

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

101649248 is a wasteful number, since it uses less digits than its factorization.

101649248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 101649248 is about 10082.1251727996. The cubic root of 101649248 is about 466.6966928526.

The spelling of 101649248 in words is "one hundred one million, six hundred forty-nine thousand, two hundred forty-eight".