101566240 has 48 divisors (see below), whose sum is σ = 242319168. Its totient is φ = 40225536.

The previous prime is 101566189. The next prime is 101566243. The reversal of 101566240 is 42665101.

It is a super-2 number, since 2×101566240² = 20631402215475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101566243) by changing a digit.

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, 13399 + ... + 19561.

It is an arithmetic number, because the mean of its divisors is an integer number (5048316).

Almost surely, 2^101566240 is an apocalyptic number.

101566240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121159584).

101566240 is an abundant number, since it is smaller than the sum of its proper divisors (140752928).

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

101566240 is a wasteful number, since it uses less digits than its factorization.

101566240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 101566240 is about 10078.0077396279. The cubic root of 101566240 is about 466.5696215438.

The spelling of 101566240 in words is "one hundred one million, five hundred sixty-six thousand, two hundred forty".