101322240 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 26517504.

The previous prime is 101322217. The next prime is 101322257. The reversal of 101322240 is 42223101.

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 (15).

It is a congruent number.

It is an unprimeable number.

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, 606637 + ... + 606803.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^101322240 is an apocalyptic number.

101322240 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 101322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

101322240 is an abundant number, since it is smaller than the sum of its proper divisors (228656640).

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

101322240 is an equidigital number, since it uses as much as digits as its factorization.

101322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 101322240 is about 10065.8948931528. The cubic root of 101322240 is about 466.1956971835.

Adding to 101322240 its reverse (42223101), we get a palindrome (143545341).

The spelling of 101322240 in words is "one hundred one million, three hundred twenty-two thousand, two hundred forty".