100214007 has 8 divisors (see below), whose sum is σ = 133666800. Its totient is φ = 66785280.

The previous prime is 100214003. The next prime is 100214029. The reversal of 100214007 is 700412001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100214007 - 2² = 100214003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9207 + ... + 16887.

It is an arithmetic number, because the mean of its divisors is an integer number (16708350).

Almost surely, 2^100214007 is an apocalyptic number.

100214007 is a deficient number, since it is larger than the sum of its proper divisors (33452793).

100214007 is an equidigital number, since it uses as much as digits as its factorization.

100214007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 100214007 is about 10010.6946312431. The cubic root of 100214007 is about 464.4897582754.

Adding to 100214007 its reverse (700412001), we get a palindrome (800626008).

It can be divided in two parts, 10021 and 4007, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 100214007 in words is "one hundred million, two hundred fourteen thousand, seven".