100365540 has 96 divisors (see below), whose sum is σ = 314133120. Its totient is φ = 23731200.

The previous prime is 100365523. The next prime is 100365541. The reversal of 100365540 is 45563001.

It is a self number, because there is not a number n which added to its sum of digits gives 100365540.

It is not an unprimeable number, because it can be changed into a prime (100365541) 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 31 ways as a sum of consecutive naturals, for example, 25206 + ... + 28914.

It is an arithmetic number, because the mean of its divisors is an integer number (3272220).

Almost surely, 2^100365540 is an apocalyptic number.

100365540 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 100365540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157066560).

100365540 is an abundant number, since it is smaller than the sum of its proper divisors (213767580).

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

100365540 is a wasteful number, since it uses less digits than its factorization.

100365540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 100365540 is about 10018.2603280210. The cubic root of 100365540 is about 464.7237577661.

It can be divided in two parts, 10036 and 5540, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 100365540 in words is "one hundred million, three hundred sixty-five thousand, five hundred forty".