100290816 has 216 divisors, whose sum is σ = 318864000. Its totient is φ = 30191616.

The previous prime is 100290811. The next prime is 100290821. The reversal of 100290816 is 618092001.

It is an interprime number because it is at equal distance from previous prime (100290811) and next prime (100290821).

It is a self number, because there is not a number n which added to its sum of digits gives 100290816.

It is not an unprimeable number, because it can be changed into a prime (100290811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269465 + ... + 1269543.

Almost surely, 2^100290816 is an apocalyptic number.

100290816 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 100290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159432000).

100290816 is an abundant number, since it is smaller than the sum of its proper divisors (218573184).

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

100290816 is a wasteful number, since it uses less digits than its factorization.

100290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100290816 is about 10014.5302436010. The cubic root of 100290816 is about 464.6083973224.

The spelling of 100290816 in words is "one hundred million, two hundred ninety thousand, eight hundred sixteen".