100101040 has 80 divisors (see below), whose sum is σ = 259358400. Its totient is φ = 35675136.

The previous prime is 100101013. The next prime is 100101041. The reversal of 100101040 is 40101001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (100101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28501 + ... + 31819.

It is an arithmetic number, because the mean of its divisors is an integer number (3241980).

Almost surely, 2^100101040 is an apocalyptic number.

100101040 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 100101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129679200).

100101040 is an abundant number, since it is smaller than the sum of its proper divisors (159257360).

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

100101040 is a wasteful number, since it uses less digits than its factorization.

100101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100101040 is about 10005.0507245091. The cubic root of 100101040 is about 464.3151594512.

Adding to 100101040 its reverse (40101001), we get a palindrome (140202041).

The spelling of 100101040 in words is "one hundred million, one hundred one thousand, forty".