101400240 has 160 divisors (see below), whose sum is σ = 344710080. Its totient is φ = 24543232.

The previous prime is 101400227. The next prime is 101400253. The reversal of 101400240 is 42004101.

It is an interprime number because it is at equal distance from previous prime (101400227) and next prime (101400253).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117892 + ... + 118748.

It is an arithmetic number, because the mean of its divisors is an integer number (2154438).

Almost surely, 2^101400240 is an apocalyptic number.

101400240 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 101400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

101400240 is an abundant number, since it is smaller than the sum of its proper divisors (243309840).

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

101400240 is a wasteful number, since it uses less digits than its factorization.

101400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101400240 is about 10069.7686170041. The cubic root of 101400240 is about 466.3152955965.

Adding to 101400240 its reverse (42004101), we get a palindrome (143404341).

The spelling of 101400240 in words is "one hundred one million, four hundred thousand, two hundred forty".