100434560 has 64 divisors (see below), whose sum is σ = 250577280. Its totient is φ = 38421504.

The previous prime is 100434559. The next prime is 100434571. The reversal of 100434560 is 65434001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11309 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (3915270).

Almost surely, 2^100434560 is an apocalyptic number.

100434560 is a gapful number since it is divisible by the number (10) 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 100434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125288640).

100434560 is an abundant number, since it is smaller than the sum of its proper divisors (150142720).

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

100434560 is an equidigital number, since it uses as much as digits as its factorization.

100434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 100434560 is about 10021.7044458515. The cubic root of 100434560 is about 464.8302613994.

Adding to 100434560 its reverse (65434001), we get a palindrome (165868561).

The spelling of 100434560 in words is "one hundred million, four hundred thirty-four thousand, five hundred sixty".