100910016 has 112 divisors (see below), whose sum is σ = 309676800. Its totient is φ = 32161536.

The previous prime is 100910003. The next prime is 100910059. The reversal of 100910016 is 610019001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38475 + ... + 41013.

Almost surely, 2^100910016 is an apocalyptic number.

100910016 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 100910016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154838400).

100910016 is an abundant number, since it is smaller than the sum of its proper divisors (208766784).

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

100910016 is a wasteful number, since it uses less digits than its factorization.

100910016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 100910016 is about 10045.3977522047. The cubic root of 100910016 is about 465.5626072638.

Adding to 100910016 its reverse (610019001), we get a palindrome (710929017).

It can be divided in two parts, 1009 and 10016, that added together give a square (11025 = 105²).

The spelling of 100910016 in words is "one hundred million, nine hundred ten thousand, sixteen".