100807007 has 32 divisors (see below), whose sum is σ = 123171840. Its totient is φ = 80720640.

The previous prime is 100807001. The next prime is 100807019. The reversal of 100807007 is 700708001.

It is not a de Polignac number, because 100807007 - 2¹⁶ = 100741471 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100807001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132619 + ... + 1132707.

It is an arithmetic number, because the mean of its divisors is an integer number (3849120).

Almost surely, 2^100807007 is an apocalyptic number.

100807007 is a deficient number, since it is larger than the sum of its proper divisors (22364833).

100807007 is an equidigital number, since it uses as much as digits as its factorization.

100807007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 100807007 is about 10040.2692692975. The cubic root of 100807007 is about 465.4041378076.

The spelling of 100807007 in words is "one hundred million, eight hundred seven thousand, seven".