100521504 has 72 divisors (see below), whose sum is σ = 292864572. Its totient is φ = 32686080.

The previous prime is 100521497. The next prime is 100521529. The reversal of 100521504 is 405125001.

It can be written as a sum of positive squares in 2 ways, for example, as 100400400 + 121104 = 10020^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7552 + ... + 16064.

Almost surely, 2^100521504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100521504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146432286).

100521504 is an abundant number, since it is smaller than the sum of its proper divisors (192343068).

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

100521504 is a wasteful number, since it uses less digits than its factorization.

100521504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100521504 is about 10026.0412925541. The cubic root of 100521504 is about 464.9643538405.

Adding to 100521504 its reverse (405125001), we get a palindrome (505646505).

It can be divided in two parts, 100521 and 504, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100521504 in words is "one hundred million, five hundred twenty-one thousand, five hundred four".