101166648 has 64 divisors (see below), whose sum is σ = 278277120. Its totient is φ = 30646880.

The previous prime is 101166641. The next prime is 101166649. The reversal of 101166648 is 846661101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101166641) 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, 30361 + ... + 33527.

It is an arithmetic number, because the mean of its divisors is an integer number (4348080).

Almost surely, 2^101166648 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 101166648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139138560).

101166648 is an abundant number, since it is smaller than the sum of its proper divisors (177110472).

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

101166648 is a wasteful number, since it uses less digits than its factorization.

101166648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 101166648 is about 10058.1632518070. The cubic root of 101166648 is about 465.9569424872.

The spelling of 101166648 in words is "one hundred one million, one hundred sixty-six thousand, six hundred forty-eight".