100108416 has 64 divisors (see below), whose sum is σ = 279928800. Its totient is φ = 31610880.

The previous prime is 100108403. The next prime is 100108423. The reversal of 100108416 is 614801001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100108392 and 100108401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436 + ... + 14156.

Almost surely, 2^100108416 is an apocalyptic number.

100108416 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 100108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139964400).

100108416 is an abundant number, since it is smaller than the sum of its proper divisors (179820384).

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

100108416 is a wasteful number, since it uses less digits than its factorization.

100108416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13757 (or 13745 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100108416 is about 10005.4193315423. The cubic root of 100108416 is about 464.3265636101.

Adding to 100108416 its reverse (614801001), we get a palindrome (714909417).

The spelling of 100108416 in words is "one hundred million, one hundred eight thousand, four hundred sixteen".