101100240 has 60 divisors (see below), whose sum is σ = 339530724. Its totient is φ = 26959872.

The previous prime is 101100229. The next prime is 101100257. The reversal of 101100240 is 42001101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58798224 + 42302016 = 7668^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 11 ways as a sum of consecutive naturals, for example, 69489 + ... + 70928.

Almost surely, 2^101100240 is an apocalyptic number.

101100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100240 is an abundant number, since it is smaller than the sum of its proper divisors (238430484).

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

101100240 is a wasteful number, since it uses less digits than its factorization.

101100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140436 (or 140427 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101100240 is about 10054.8615107320. The cubic root of 101100240 is about 465.8549653952.

Adding to 101100240 its reverse (42001101), we get a palindrome (143101341).

The spelling of 101100240 in words is "one hundred one million, one hundred thousand, two hundred forty".