101442240 has 224 divisors, whose sum is σ = 365760000. Its totient is φ = 26459136.

The previous prime is 101442239. The next prime is 101442277. The reversal of 101442240 is 42244101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 509661 + ... + 509859.

Almost surely, 2^101442240 is an apocalyptic number.

101442240 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 101442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880000).

101442240 is an abundant number, since it is smaller than the sum of its proper divisors (264317760).

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

101442240 is a wasteful number, since it uses less digits than its factorization.

101442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 101442240 is about 10071.8538512034. The cubic root of 101442240 is about 466.3796693395.

Adding to 101442240 its reverse (42244101), we get a palindrome (143686341).

The spelling of 101442240 in words is "one hundred one million, four hundred forty-two thousand, two hundred forty".