104414124100 has 144 divisors (see below), whose sum is σ = 281849210496. Its totient is φ = 32986368000.

The previous prime is 104414124053. The next prime is 104414124119. The reversal of 104414124100 is 1421414401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28345 + ... + 457855.

It is an arithmetic number, because the mean of its divisors is an integer number (1957286184).

Almost surely, 2^104414124100 is an apocalyptic number.

104414124100 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 104414124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140924605248).

104414124100 is an abundant number, since it is smaller than the sum of its proper divisors (177435086396).

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

104414124100 is a wasteful number, since it uses less digits than its factorization.

104414124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429566 (or 429559 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 104414124100 its reverse (1421414401), we get a palindrome (105835538501).

The spelling of 104414124100 in words is "one hundred four billion, four hundred fourteen million, one hundred twenty-four thousand, one hundred".