100417028 has 24 divisors (see below), whose sum is σ = 187921944. Its totient is φ = 46784000.

The previous prime is 100417021. The next prime is 100417049. The reversal of 100417028 is 820714001.

It can be written as a sum of positive squares in 4 ways, for example, as 18731584 + 81685444 = 4328^2 + 9038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100416994 and 100417012.

It is not an unprimeable number, because it can be changed into a prime (100417021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443 + ... + 14178.

It is an arithmetic number, because the mean of its divisors is an integer number (7830081).

Almost surely, 2^100417028 is an apocalyptic number.

It is an amenable number.

100417028 is a deficient number, since it is larger than the sum of its proper divisors (87504916).

100417028 is a wasteful number, since it uses less digits than its factorization.

100417028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14743 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 100417028 is about 10020.8297061670. The cubic root of 100417028 is about 464.8032126811.

The spelling of 100417028 in words is "one hundred million, four hundred seventeen thousand, twenty-eight".