100107007 has 32 divisors (see below), whose sum is σ = 135926784. Its totient is φ = 71193600.

The previous prime is 100106989. The next prime is 100107013. The reversal of 100107007 is 700701001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100107007 - 2¹⁵ = 100074239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100107037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96582 + ... + 97612.

It is an arithmetic number, because the mean of its divisors is an integer number (4247712).

Almost surely, 2^100107007 is an apocalyptic number.

100107007 is a deficient number, since it is larger than the sum of its proper divisors (35819777).

100107007 is a wasteful number, since it uses less digits than its factorization.

100107007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 100107007 is about 10005.3489194530. The cubic root of 100107007 is about 464.3243851746.

Adding to 100107007 its reverse (700701001), we get a palindrome (800808008).

The spelling of 100107007 in words is "one hundred million, one hundred seven thousand, seven".