100280064 has 72 divisors (see below), whose sum is σ = 274182160. Its totient is φ = 32514048.

The previous prime is 100280053. The next prime is 100280099. The reversal of 100280064 is 460082001.

It is a self number, because there is not a number n which added to its sum of digits gives 100280064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26652 + ... + 30180.

Almost surely, 2^100280064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137091080).

100280064 is an abundant number, since it is smaller than the sum of its proper divisors (173902096).

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

100280064 is an equidigital number, since it uses as much as digits as its factorization.

100280064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100280064 is about 10013.9934092249. The cubic root of 100280064 is about 464.5917934490.

The spelling of 100280064 in words is "one hundred million, two hundred eighty thousand, sixty-four".