100414000 has 40 divisors (see below), whose sum is σ = 242805888. Its totient is φ = 40164800.

The previous prime is 100413997. The next prime is 100414003. The reversal of 100414000 is 414001.

It is an interprime number because it is at equal distance from previous prime (100413997) and next prime (100414003).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100414003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23104 + ... + 27103.

Almost surely, 2^100414000 is an apocalyptic number.

100414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414000 is an abundant number, since it is smaller than the sum of its proper divisors (142391888).

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

100414000 is an equidigital number, since it uses as much as digits as its factorization.

100414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50230 (or 50214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100414000 is about 10020.6786197343. The cubic root of 100414000 is about 464.7985407036.

Adding to 100414000 its reverse (414001), we get a palindrome (100828001).

Subtracting from 100414000 its reverse (414001), we obtain a palindrome (99999999).

It can be divided in two parts, 10041 and 4000, that added together give a palindrome (14041).

The spelling of 100414000 in words is "one hundred million, four hundred fourteen thousand".