101165648 has 40 divisors (see below), whose sum is σ = 205820160. Its totient is φ = 48107520.

The previous prime is 101165599. The next prime is 101165651. The reversal of 101165648 is 846561101.

It is a super-3 number, since 3×101165648³ (a number of 25 digits) contains 333 as substring.

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, 27536 + ... + 30992.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^101165648 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 101165648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910080).

101165648 is an abundant number, since it is smaller than the sum of its proper divisors (104654512).

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

101165648 is a wasteful number, since it uses less digits than its factorization.

101165648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 101165648 is about 10058.1135408187. The cubic root of 101165648 is about 465.9554072036.

The spelling of 101165648 in words is "one hundred one million, one hundred sixty-five thousand, six hundred forty-eight".