100416321 has 32 divisors (see below), whose sum is σ = 156867840. Its totient is φ = 63360000.

The previous prime is 100416319. The next prime is 100416343. The reversal of 100416321 is 123614001.

It is a happy number.

It is not a de Polignac number, because 100416321 - 2¹ = 100416319 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100416294 and 100416303.

It is not an unprimeable number, because it can be changed into a prime (100416301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61921 + ... + 63521.

It is an arithmetic number, because the mean of its divisors is an integer number (4902120).

Almost surely, 2^100416321 is an apocalyptic number.

It is an amenable number.

100416321 is a deficient number, since it is larger than the sum of its proper divisors (56451519).

100416321 is a wasteful number, since it uses less digits than its factorization.

100416321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100416321 is about 10020.7944295849. The cubic root of 100416321 is about 464.8021218414.

The spelling of 100416321 in words is "one hundred million, four hundred sixteen thousand, three hundred twenty-one".