100120416 has 48 divisors (see below), whose sum is σ = 286711488. Its totient is φ = 30339200.

The previous prime is 100120411. The next prime is 100120417. The reversal of 100120416 is 614021001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100120395 and 100120404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120411) 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 7 ways as a sum of consecutive naturals, for example, 46350 + ... + 48461.

It is an arithmetic number, because the mean of its divisors is an integer number (5973156).

Almost surely, 2^100120416 is an apocalyptic number.

100120416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100120416 is an abundant number, since it is smaller than the sum of its proper divisors (186591072).

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

100120416 is a wasteful number, since it uses less digits than its factorization.

100120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94835 (or 94827 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100120416 is about 10006.0189885888. The cubic root of 100120416 is about 464.3451158170.

Adding to 100120416 its reverse (614021001), we get a palindrome (714141417).

The spelling of 100120416 in words is "one hundred million, one hundred twenty thousand, four hundred sixteen".