100016280 has 384 divisors, whose sum is σ = 415134720. Its totient is φ = 20321280.

The previous prime is 100016263. The next prime is 100016299. The reversal of 100016280 is 82610001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408645 + ... + 1408715.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^100016280 is an apocalyptic number.

100016280 is a gapful number since it is divisible by the number (10) 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 100016280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

100016280 is an abundant number, since it is smaller than the sum of its proper divisors (315118440).

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

100016280 is a wasteful number, since it uses less digits than its factorization.

100016280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

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

The square root of 100016280 is about 10000.8139668729. The cubic root of 100016280 is about 464.1840703499.

Adding to 100016280 its reverse (82610001), we get a palindrome (182626281).

The spelling of 100016280 in words is "one hundred million, sixteen thousand, two hundred eighty".