101066240 has 160 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 35389440.

The previous prime is 101066227. The next prime is 101066243. The reversal of 101066240 is 42660101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101066243) 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 15 ways as a sum of consecutive naturals, for example, 1041872 + ... + 1041968.

Almost surely, 2^101066240 is an apocalyptic number.

101066240 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 101066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

101066240 is an abundant number, since it is smaller than the sum of its proper divisors (173228704).

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

101066240 is an equidigital number, since it uses as much as digits as its factorization.

101066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 101066240 is about 10053.1706441301. The cubic root of 101066240 is about 465.8027372148.

The spelling of 101066240 in words is "one hundred one million, sixty-six thousand, two hundred forty".