100040520 has 64 divisors (see below), whose sum is σ = 302163840. Its totient is φ = 26496000.

The previous prime is 100040519. The next prime is 100040531. The reversal of 100040520 is 25040001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100040496 and 100040505.

It is an unprimeable number.

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, 15360 + ... + 20880.

It is an arithmetic number, because the mean of its divisors is an integer number (4721310).

Almost surely, 2^100040520 is an apocalyptic number.

100040520 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 100040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151081920).

100040520 is an abundant number, since it is smaller than the sum of its proper divisors (202123320).

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

100040520 is a wasteful number, since it uses less digits than its factorization.

100040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 100040520 is about 10002.0257948078. The cubic root of 100040520 is about 464.2215672887.

Adding to 100040520 its reverse (25040001), we get a palindrome (125080521).

The spelling of 100040520 in words is "one hundred million, forty thousand, five hundred twenty".