100473216 has 128 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 30947328.

The previous prime is 100473203. The next prime is 100473221. The reversal of 100473216 is 612374001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342766 + ... + 343058.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^100473216 is an apocalyptic number.

100473216 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 100473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

100473216 is an abundant number, since it is smaller than the sum of its proper divisors (187411584).

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

100473216 is a wasteful number, since it uses less digits than its factorization.

100473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 100473216 is about 10023.6328743625. The cubic root of 100473216 is about 464.8898895254.

The spelling of 100473216 in words is "one hundred million, four hundred seventy-three thousand, two hundred sixteen".