100646416 has 40 divisors (see below), whose sum is σ = 211019480. Its totient is φ = 46227456.

The previous prime is 100646407. The next prime is 100646437. The reversal of 100646416 is 614646001.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 100000000 = 804^2 + 10000^2 .

It is an unprimeable number.

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, 46576 + ... + 48688.

It is an arithmetic number, because the mean of its divisors is an integer number (5275487).

Almost surely, 2^100646416 is an apocalyptic number.

100646416 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 100646416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105509740).

100646416 is an abundant number, since it is smaller than the sum of its proper divisors (110373064).

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

100646416 is a wasteful number, since it uses less digits than its factorization.

100646416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 100646416 is about 10032.2687364325. The cubic root of 100646416 is about 465.1568684909.

It can be divided in two parts, 100 and 646416, that multiplied together give a square (64641600 = 8040²).

The spelling of 100646416 in words is "one hundred million, six hundred forty-six thousand, four hundred sixteen".