100076928 has 128 divisors (see below), whose sum is σ = 313866240. Its totient is φ = 27648000.

The previous prime is 100076923. The next prime is 100076939. The reversal of 100076928 is 829670001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100076923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82728 + ... + 83928.

It is an arithmetic number, because the mean of its divisors is an integer number (2452080).

Almost surely, 2^100076928 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 100076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156933120).

100076928 is an abundant number, since it is smaller than the sum of its proper divisors (213789312).

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

100076928 is a wasteful number, since it uses less digits than its factorization.

100076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 100076928 is about 10003.8456605447. The cubic root of 100076928 is about 464.2778755690.

The spelling of 100076928 in words is "one hundred million, seventy-six thousand, nine hundred twenty-eight".