100414401 has 16 divisors (see below), whose sum is σ = 136593600. Its totient is φ = 65596608.

The previous prime is 100414387. The next prime is 100414423. The reversal of 100414401 is 104414001.

It is not a de Polignac number, because 100414401 - 2¹⁴ = 100398017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100464401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69555 + ... + 70983.

It is an arithmetic number, because the mean of its divisors is an integer number (8537100).

Almost surely, 2^100414401 is an apocalyptic number.

It is an amenable number.

100414401 is a deficient number, since it is larger than the sum of its proper divisors (36179199).

100414401 is a wasteful number, since it uses less digits than its factorization.

100414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100414401 is about 10020.6986283392. The cubic root of 100414401 is about 464.7991594220.

Adding to 100414401 its reverse (104414001), we get a palindrome (204828402).

The spelling of 100414401 in words is "one hundred million, four hundred fourteen thousand, four hundred one".