100417104 has 80 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 33269760.

The previous prime is 100417087. The next prime is 100417117. The reversal of 100417104 is 401714001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81904 + ... + 83120.

It is an arithmetic number, because the mean of its divisors is an integer number (3624768).

Almost surely, 2^100417104 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 100417104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990720).

100417104 is an abundant number, since it is smaller than the sum of its proper divisors (189564336).

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

100417104 is a wasteful number, since it uses less digits than its factorization.

100417104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100417104 is about 10020.8334982675. The cubic root of 100417104 is about 464.8033299422.

The spelling of 100417104 in words is "one hundred million, four hundred seventeen thousand, one hundred four".