100504416 has 96 divisors (see below), whose sum is σ = 273829248. Its totient is φ = 32256000.

The previous prime is 100504409. The next prime is 100504421. The reversal of 100504416 is 614405001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100504416² = 20202275271002112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100504392 and 100504401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400291 + ... + 400541.

It is an arithmetic number, because the mean of its divisors is an integer number (2852388).

Almost surely, 2^100504416 is an apocalyptic number.

100504416 is a gapful number since it is divisible by the number (16) 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 100504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136914624).

100504416 is an abundant number, since it is smaller than the sum of its proper divisors (173324832).

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

100504416 is a wasteful number, since it uses less digits than its factorization.

100504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100504416 is about 10025.1890755237. The cubic root of 100504416 is about 464.9380053783.

Adding to 100504416 its reverse (614405001), we get a palindrome (714909417).

The spelling of 100504416 in words is "one hundred million, five hundred four thousand, four hundred sixteen".