100815540 has 144 divisors (see below), whose sum is σ = 335083392. Its totient is φ = 22573824.

The previous prime is 100815529. The next prime is 100815541. The reversal of 100815540 is 45518001.

It is a self number, because there is not a number n which added to its sum of digits gives 100815540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100815541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155497 + ... + 156143.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2^100815540 is an apocalyptic number.

100815540 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 100815540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167541696).

100815540 is an abundant number, since it is smaller than the sum of its proper divisors (234267852).

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

100815540 is a wasteful number, since it uses less digits than its factorization.

100815540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 100815540 is about 10040.6941991079. The cubic root of 100815540 is about 465.4172691086.

The spelling of 100815540 in words is "one hundred million, eight hundred fifteen thousand, five hundred forty".