100107040 has 96 divisors (see below), whose sum is σ = 269329536. Its totient is φ = 34805760.

The previous prime is 100107037. The next prime is 100107041. The reversal of 100107040 is 40701001.

It is a self number, because there is not a number n which added to its sum of digits gives 100107040.

It is not an unprimeable number, because it can be changed into a prime (100107041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39244 + ... + 41716.

It is an arithmetic number, because the mean of its divisors is an integer number (2805516).

Almost surely, 2^100107040 is an apocalyptic number.

100107040 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 100107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134664768).

100107040 is an abundant number, since it is smaller than the sum of its proper divisors (169222496).

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

100107040 is a wasteful number, since it uses less digits than its factorization.

100107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 100107040 is about 10005.3505685708. The cubic root of 100107040 is about 464.3244361957.

Adding to 100107040 its reverse (40701001), we get a palindrome (140808041).

The spelling of 100107040 in words is "one hundred million, one hundred seven thousand, forty".