101214240 has 192 divisors, whose sum is σ = 337841280. Its totient is φ = 25436160.

The previous prime is 101214229. The next prime is 101214241. The reversal of 101214240 is 42412101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101214241) 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 31 ways as a sum of consecutive naturals, for example, 728091 + ... + 728229.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^101214240 is an apocalyptic number.

101214240 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 101214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

101214240 is an abundant number, since it is smaller than the sum of its proper divisors (236627040).

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

101214240 is a wasteful number, since it uses less digits than its factorization.

101214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 101214240 is about 10060.5288131390. The cubic root of 101214240 is about 466.0299980075.

Adding to 101214240 its reverse (42412101), we get a palindrome (143626341).

The spelling of 101214240 in words is "one hundred one million, two hundred fourteen thousand, two hundred forty".