100435104 has 216 divisors, whose sum is σ = 363007008. Its totient is φ = 26046720.

The previous prime is 100435103. The next prime is 100435123. The reversal of 100435104 is 401534001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100435103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154909 + ... + 155555.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2^100435104 is an apocalyptic number.

100435104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181503504).

100435104 is an abundant number, since it is smaller than the sum of its proper divisors (262571904).

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

100435104 is a wasteful number, since it uses less digits than its factorization.

100435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100435104 is about 10021.7315869065. The cubic root of 100435104 is about 464.8311006431.

Adding to 100435104 its reverse (401534001), we get a palindrome (501969105).

The spelling of 100435104 in words is "one hundred million, four hundred thirty-five thousand, one hundred four".