100628814 has 64 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 26488320.

The previous prime is 100628813. The next prime is 100628893. The reversal of 100628814 is 418826001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100628813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11137 + ... + 18035.

It is an arithmetic number, because the mean of its divisors is an integer number (3912300).

Almost surely, 2^100628814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100628814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

100628814 is an abundant number, since it is smaller than the sum of its proper divisors (149758386).

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

100628814 is a wasteful number, since it uses less digits than its factorization.

100628814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 100628814 is about 10031.3914289096. The cubic root of 100628814 is about 465.1297498947.

The spelling of 100628814 in words is "one hundred million, six hundred twenty-eight thousand, eight hundred fourteen".