100984416 has 48 divisors (see below), whose sum is σ = 285478704. Its totient is φ = 31071744.

The previous prime is 100984397. The next prime is 100984417. The reversal of 100984416 is 614489001.

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

It is a super-2 number, since 2×100984416² = 20395704549722112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100984417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39211 + ... + 41706.

It is an arithmetic number, because the mean of its divisors is an integer number (5947473).

Almost surely, 2^100984416 is an apocalyptic number.

100984416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100984416 is an abundant number, since it is smaller than the sum of its proper divisors (184494288).

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

100984416 is a wasteful number, since it uses less digits than its factorization.

100984416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80943 (or 80935 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 100984416 is about 10049.1002582321. The cubic root of 100984416 is about 465.6769974572.

The spelling of 100984416 in words is "one hundred million, nine hundred eighty-four thousand, four hundred sixteen".