100280016 has 60 divisors (see below), whose sum is σ = 281962980. Its totient is φ = 33269760.

The previous prime is 100279981. The next prime is 100280017. The reversal of 100280016 is 610082001.

It can be written as a sum of positive squares in 2 ways, for example, as 96118416 + 4161600 = 9804^2 + 2040^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100280017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31456 + ... + 34496.

It is an arithmetic number, because the mean of its divisors is an integer number (4699383).

Almost surely, 2^100280016 is an apocalyptic number.

100280016 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 100280016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140981490).

100280016 is an abundant number, since it is smaller than the sum of its proper divisors (181682964).

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

100280016 is a wasteful number, since it uses less digits than its factorization.

100280016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100280016 is about 10013.9910125784. The cubic root of 100280016 is about 464.5917193220.

It can be divided in two parts, 1002 and 80016, that added together give a palindrome (81018).

The spelling of 100280016 in words is "one hundred million, two hundred eighty thousand, sixteen".